Which of the following statements about a polynomial function is false? 1) A polynomial function of degree n has at most n turning points. 2) A polynomial function of degree n may have up to n distinct zeros. 3) A

27,185 results
  1. pre-calc

    1. which of the following is a fourth degree polynomial function? select all that apply. a. f(x)= 4x^3 - x^2 + 2x - 7 b. f(x)= 5-x^4 c. f(x)= 1 / 2x^4 + x^2 -5 d. f(x)= 3x^4 + 2x^3 -4x +1 2. which function below has the end behavior f(x) approaches neg.

  2. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point

  3. Math

    Which of the following statements about a polynomial function is false? 1) A polynomial function of degree n has at most n turning points. 2) A polynomial function of degree n may have up to n distinct zeros. 3) A polynomial function of odd degree may have

  4. Pre-Calc

    A polynomial function f(x) with real coefficients has the given degree, zeros, and solution point. Degree: 3 Zeros: -2,2+2√2i Solution Point: f(−1) = −68 (a) Write the function in completely factored form. (b) Write the function in polynomial form.

  5. Maths

    true/false 1. a cubic polynomial has at least one zero.............. 2. a quadratic polynomial an have at most two zeroes.......... 3. if r(x)is the remainder and p(x) is the divisor, then degree r(x) < degree p(x)............ 4. if zeroes of a quadratic

  6. calculus

    Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=-3, f''(0)=1, and f'''(0)=4. Write the third-degree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for this part, I got

  7. Math

    How is an exponential function different from a polynomial function? Examples?

  8. Math

    You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area _____________________________________ Among all pairs of

  9. pre cal

    Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help

  10. Math

    (a) Consider the improper function f(x)= (x^4+x^3+2x^2+x-1)/(x^3-x^2+x-1). Use long division to convert f(x) into a polynomial plus a proper rational function. -->I ended up with : (x+2) + (3x^2-2x-3)/(x^3-x^2+x-1) (b) Factor the polynomial Q(x) = x^3 -

  11. Math

    What does the degree of a polynomial expression tell you about its related polynomial function? Explain your thinking. Give an example of a polynomial expression of degree three. Provide information regarding the graph and zeros of the related polynomial

  12. calculus

    1.is the function f(X)=4-7x^5 a polynomial function? if so state its degree and leading coefficient. 6.use the remainder theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5-7x^3-11x^2+2

  13. Calculus (Urgent Help)

    Okay, I need major help! Can someone tell me if these statements are true or false ASAP please. Thank you. 1. If ƒ′(x) < 0 when x < c then ƒ(x) is decreasing when x < c. True 2. The function ƒ(x) = x^3 – 3x + 2 is increasing on the interval -1 < x <

  14. Algebra II

    Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)→? as x→-∞ and f(x)→? as x→+∞. 1. f(x)=-(x^2)+1 2. f(x)==10x^3

  15. calculus-can someone please help me with this ques

    Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what

  16. Pre-Calc

    Fill in the blank; •In the process of polynomial division (Divisor)(Quotient)+_______=_______ •When a polynomial function f is divided by x-c, the remainder is _______. •If a function f, whose domain is all real numbers, is even and if 4 is a zero of

  17. math

    How is the range of a polynomial function related to the degree of the polynomial?

  18. Precalculus

    There is at least one polynomial with real functions with 9+i as its only nonreal zero. A. The statement is​ false, because the Fundamental Theorem of Algebra dictates that there must be n complex zeros for a polynomial of degree n. B.The statement is

  19. Algebra 2

    Describe the end behavior of the graph of the polynomial function. Then evaluate the function for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. Then graph the function. Number one: y=x^4-2x^2-x-1

  20. Algebra 2

    1. Write a polynomial in standard form that has solutions: 0, -2, 3 2. Write a trinomial that has a degree of 4 and a lead coefficient of -3 3. True of false: 3/x^2 is a polynomial expression

  21. Algebra Help me Please

    Someone please help me with this!!! Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle

  22. Algebra-please check my work

    check my answers please. Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given integers. f(x) = 2x3 + 10x2 - 8x - 5; between 1 and 2 -I got: f(1)=1 and f(2)=35;no Determine the maximum possible

  23. Calculus

    Score for Question 2: ___ of 40 points) For the polynomial (x)=x^5-5x^4+12x^3-24x^2+32x-16 , answer the following questions. Show all of your work. How many zeros does the function have over the set of complex numbers? What is the maximum number of local

  24. mathematics

    1. How many real roots does y=x^3+x^2+9x+9 have? 2. If you know that a 6th degree polynomial has at least 5 complex roots, how many complex roots does it have in total? 3. A polynomial function has 3 real roots and 4 complex roots. What is the degree of

  25. Math

    Why does the reciprocal of a polynomial share the same points as the polynomial function at y = 1 and y = -1

  26. algebra

    Please help!!! Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some

  27. Math

    Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 x=2 I have no idea how to start this problem!!

  28. Algebra

    Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros

  29. Math-Funtions

    1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

  30. math help pls pls pls

    Four polynomials are shown below: A. 2 − 2x5 + 2x2 B. 5x3 + 5 − 5x4 C. 3x + 2x5 D. 6x3 − 1 Which of the above polynomials is a 5th degree binomial? Polynomial A Polynomial B Polynomial C Polynomial D pls help me

  31. math

    Using only​ algebra, find a cubic function with the given zeros. -2, 3, -7 the polynomial function is: f(x)=x^3+ (BLANK) x^2-13x-42 i can't figure out what BLANK is Thank you!

  32. Math

    The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is continuous. B. A polynomial because it is of the form axn. C. Not a polynomial because you are subtracting 2x. D. Not a polynomial because you can’t have any fractional exponents. Is

  33. Math:Polynomial Functions

    h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D

  34. Calculus

    Suppose that ax^2 + bx + c is a quadratic polynomial and that the integration: Int 1/(ax^2 + bx + c) dx produces a function with neither a logarithmic or inverse tangent term. What does this tell you about the roots of the polynomial?

  35. Equivalent Algebraic Expressions

    The game shown at the right consists of eight pairs of coloured squares called dominos. Rules: 1. Write a polynomial in each square marked P and a rational function in each square marked R. 2. The expressions you write must satisfy each of these

  36. Math-precalc

    Is it possible to find a rational function that has x-intercepts (-2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0? The horizontal asymptote and the x-intercepts parts stump me. If you can't reach y=0, then how can you get

  37. precal

    Create a rational function that has a polynomial function that is similar. The rational function must have a vertical asymptote. thanks for any help.

  38. Math-Functions

    1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

  39. Algebra

    1. Find the GCF of the polynomial. 8x^6+32x^3 2. Polynomial identities tell us that the square of the sum of a and b, (a+b)^2, can be rewritten as ______. 3. The sum of cubes identity is very powerful, although a little hard to remember. It tells us that

  40. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  41. Math

    Three zeroes of a fifth degree polynomial function are ⅓,4-6i, and -2+11i. Determine the remaining zeroes of the function.

  42. Calculus

    Which of the following choices will most easily evaluate integral of [L(x)]/P(x) dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function b) Integrate the logarithmic

  43. Calculus

    Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function. b) Integrate the

  44. Math

    Suppose you have a graph of a polynomial function and you can see that the function increases without bound on both left and right ends, has 4 real zereos and has 5 turning points. Based on this information, what is the minimum degree of the polynomial?

  45. Calculus

    A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx + k? A cubic polynomial function f is defined by: f(x) = 4x^3 + ax^2 + bx + k where a, b, and k are constants. The function f has a local minimum at x= -1, and the graph of f has a point

  46. math

    Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). Part 1. Show all work using long division to divide your polynomial by the binomial. Part 2. Show all work to evaluate f(a) using the function you created. Part 3. Use

  47. Math

    True or false Some rational numbers are integers. The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function

  48. Math

    Some rational numbers are integers. True or false The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function.

  49. math

    Is the function a polynomial function? Why or why not? If it is a polynomial function identify and label the leading term and constant term. Here are the functions f(x)=(2-x^4)/13 f(x)=x^3+9x-(1/x) it would be great if you could do everything step by step

  50. Graphs of polynomial functions

    What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

  51. Polynomial Functions

    What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

  52. Polynomial Functions-help

    What do polynomial functions look like? And what can be consider a polynomial function? Would a graph that is like an upside down V be considered as a graph of a polynomial function?

  53. Math

    Can someone help me with these T.T 1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞? a) f(x) = -6x^4 - x^5 + 5x^3 - x^2 - 4x + 9 b)f(x)= 6x^4 + x^5 - 5x^3 + x^2 + 4x - 9 c)f(x) = 3x^2 + x - 11

  54. Algebra

    I need help with a few questions, please explain. 1. Write a polynomial function in standard form with zeros -1, -1, 6. 2. Find the roots of the equation x^3 – 3x^2 + x + 5 3. Describe the number and type of roots for the polynomial (how many real and

  55. Math

    Hello! I've been having trouble deciding what type of function this equation is: y=√x / x^2+8 There are a couple possbilties to pick from such as; power, root, rational, algebraic, polynomial by degree 2 and polynomial by degree 8. I thought it would be

  56. algebra 2

    SImplify the expressions. 1. x to the seventh times 1/x squared 2. (3 quaredx to the sixth)cubed 3. x to the nith/ x negitive squared 4. 15xsquaredy/ 6x to the fourthy to the fifth times 6xcubed y squared/5xy USE direct substitution to evaluate the

  57. Math

    0.08x^3 + 0.6x+2.8 absolute-value function Rational function Another polynomial function Quadratic function

  58. College Algebra

    1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a

  59. pre cal

    Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

  60. Pre-Cal(Please help)

    Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3 - 28x - 48 = 0 Value of x = -4 Please help!!Thank you

  61. Math

    1. Identify the degree, leading term and leading coefficient of each polynomial function. A. f(x)= x(x+1)(3x+1)(x-2) B. f(x)= -16+3x^4 - 9x^2 - x^6 + 4x^8 2. Describe the end behavior of a ninth-degree polynomial function with a negative leading

  62. algebra

    solve the polynomial y=2x^2-4x+1 For Further Reading algebra - Reiny, Thursday, May 17, 2007 at 10:34pm I am sure neither your text nor your teacher asked you to "solve the polynomial y=2x^2-4x+1 " are you graphing the function, or are you solving the

  63. Math

    How do you divide a polynomial function by another polynomial function.

  64. algebra

    solve the polynomial y=2x^2-4x+1 I am sure neither your text nor your teacher asked you to "solve the polynomial y=2x^2-4x+1 " are you graphing the function, or are you solving the quadratic y=2x^2-4x+1 ?

  65. Computer science

    While you can pass only one argument into a function, you can return as many values as needed from a function. True False A library function saves time for the programmer because it allows for code reuse. True False Each function should be flowcharted

  66. math

    Each of the following statements is false. Provide why the statement is false. 1) Every function that is continuous at x=a is differentiable at x=a. 2) The tangent line to y=f(x) when x=x0 is given by y=fprime(x0)x+f(x0). 3) The linerization of a function

  67. Algebra

    Please check my answers. Thanks! Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 5.2x^3-13x^2+22x-8=0 -My answer:{1/2,2,4} 6.x^3-8x^2-x+8=0 -My answer: {1,-1,8} Find the rational

  68. odd and even functions

    Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x) for all real x, how do I 1)show that a polynomial P(x) that contains only odd powers of x is an odd function 2)show that if a polynomial P(x) contains both odd and even powders of x, then it is

  69. calc

    find the values of a nad b if the function f(x)=2x^3 + ax^2 + bx + 36 has a local max when x=-4 and a min when x=5 First you calculate the derivative: f'(x)=6x^2 + 2ax + b (1) At the local maximum and minumum f' is zero. If a polynomial is zero at some

  70. Math

    2-4 paragraphs plus two graphs Details: Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the

  71. algebra 2

    decribe the end behavior of the graph of the polynomial function.then evaluate the function for x=-4,-3,-2...,4. equation is y=x^4-2x^2-x-1

  72. CALCULUS

    For the function f(x)=e^(x^(1/2)) , determine the error between the actual function value and the 3rd degree Taylor Polynomial (centered at a = 4) , at x = 4.1 a) 7.57 x 10^-8 b) 1.46 x 10^-8 c) 1.46 x 10^-7 d) 1.46 x 10^-9 e) 7.57 x 10^0

  73. algebra 2

    Write a polynomial function that has the zeros 2, -2, and -1 and has a leading coefficient of 1. Then graph the function to show that 2, -2, and -1 are solutions.

  74. math

    #1 If v=(6-(r^3/3))h and h/(2-r)=5/2 write V as a function of h . Simplify the function so that you can express it as a polynomial in h . #2 If y=ln(x) , write ln(x^x) as a simple function of y thxs alot!

  75. calculus

    A cubic polynomial function f is defined by f(x)= 4x^3+ab^2+bx+k where a, b, k, are constants. The function f has a local minimum at x=-2 A. Fine the vales of a and b B. If you integrate f(x) dx =32 from o to 1, what is the value of K?

  76. algebra

    A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y-axis at 2. If f(1)=1, and f(-2)=-2, find f(-1) and write the complete function.

  77. math

    A polynomial function function is defined by the equation p(x)=3x3+ax2+bx+7, where a, bE/. If p(-2)=5 and p(1)=14 then the value of a+b is...

  78. Polynomiials

    Find a polynomial function with real coefficients that has the given numbers as roots: 4, 0, 3, italic i a)x^4-4x^3 +9x^2-36x b)x^3-4x^2 -3x+12 c)x^3-4x^2 +3x-12 d)4x-4x^3 -9x^2 +36x My gut instinct is either b or c but I could be wrong. If it were b or c,

  79. Math

    Can you please check my answers. Determine whether the function is a polynomial function. f(x) = 4x + 4x^5 -Yes f(x) = 4 - 1/x^2 -No

  80. Math

    Can a polynomial function of an even degree be an even function? is this true all the time? Thank You!

  81. Algebra 2

    Describe the end behavior of the graph of the polynomial function. Then evaluate the function for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. Then graph the function.y=x^4-2x^2-x-1 and y=(x-3)(x+1)(x+2)

  82. College Algebra

    1. Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given interval. f(x) = 13x^4 - 5x^2 +7x -1; [3,0] Enter the value of (-3). 2. Use the Intermediate Value Theorem to show that the polynomial function has a zero in

  83. Math---helpppp

    1)Expand and simplify. Express each equation in standard form. a) f(x) = -2(x-1)(x+4)(x+1)(x-3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x-6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function

  84. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  85. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  86. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  87. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  88. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  89. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  90. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  91. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me

  92. 8th Grade Algebra

    Multiply. 1) (3t^2 - 2t - 4) * (5t + 9) Writing. 1) Explain why the product of a quadratic polynomial and a linear polynomial must be a cubic polynomial.

  93. Calculus

    Find the 3rd order for the taylor polynomial in powers of x for the function f(x)=sinh2x and find the remainder as a function of x and c. P3(x)=? R3(x)=? What's the kth term expression?

  94. Math, please help

    1)Determine the equation of the polynomial function of degree 3, with zeros -2, -1, and 4. The graph of this function passes through (5, -84). I have no idea how to do this one. 2) When 4x^4 - a5x^2 + px + 6 is divided by 2x+1, the remainder is 2.

  95. extrema

    The function is given as y = 7x^3 - 8x^2 -16x +15 The max is at x = -4/7 & min is at x = 4/3 How do I know that it is local max&min or absolute max &min? (graphing calculator is not allowed) You know that it's a local minimum and maximum because the x^3

  96. math

    hi my name is hedi and i am in serious need with help with some math problems dealing with polynomials can some one please help me? Determine whether each expression is a polynomial. If it is a polynomial, state the degree of the polynomial. (This is the

  97. Calculus

    Find the Taylor Polynomial of order 1 for the function f(x)=arctan(x/5) in powers of (x-5). Also find the remainder R1(x) as a function of x and c.

  98. calculus totally confused

    find a first degree polynomial function p(1) whose value and slope agree with the value and slope of f at x=c. i think you use taylor series for this f(x)=4/sqrt(x), c=1 i'm totally confused on how to do it. i know you find the derivative but how do i get

  99. Calculus II

    Fed loves polynomials with rational coefficients and only such polynomials.Suppose f(x)=square root of x. Find a polynomial P(x) that Fred will adore so that, for any x in the interval [3,5], the difference between P(x) and f(x) is less than .01 Hint: The

  100. algebra!!!! please help me!!!!

    A number is called algebraic if there is a polynomial with rational coefficients for which the number is a root. For example, √2 is algebraic because it is a root of the polynomial x^2−2. The number √(2+√3+√5)is also algebraic because it is a

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