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For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the x-axis at each x-intercept. Use the zeros of f and test numbers to find the intervals over

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  1. Pre-Calculus

    For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the x-axis at each x-intercept. Use the zeros of f and test numbers to find the intervals over which the graph of
  2. Polynomial Fucntion Problem

    Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros;
  3. Algebra 2

    Find all real zeros of the function f(x)=x^3-27x
  4. pre cal

    g(x) = x^2 - x -12 / x + 1 I know the division brings it to x -2 + -10/x + 1 but these are the steps I have to follow 1. factor the numerator and denominator and find its domain. ( I know 0 is not in domain) 2. write in lowest ermas as p(x)/ q(x) and find
  5. rational zeros theorem

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)=
  6. College algebra

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers f(x)=9x^4+28x^3+66x^2+196x+21 Find the real zeros of f Use the real zeros to factor f f(x)=
  7. calculus

    For the following function f(x)=2x^4-6x^2+2x-1. Find the maximum number of real zeros and Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has. You do not need to find the zeros.
  8. Polynomial Function

    Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
  9. Algebra

    Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24
  10. College Algebra

    Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function: R(x) = x^2 - 49/x^4 - 16 Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find y-intercept, R(0), and plot it.
  11. college algebra

    use rational zeros theorem to find all the real zeros in the polynomial function. use zeros to factor f over real numbers. f(x)=x^3+10x^2-13x-22 find real zeros of f? use real zeros to factor f?
  12. college algebra

    1. solve the following logarithmic equation log_8(x+8)+log_8(x+7)=2 what is the exact solution 2.se the rational theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers. f(x)=4x^4+5x^3+9x^2+10x+2
  13. college allgebra

    f(x)=x^6+4x^5+4x^4+3x^3-x^2-5x+4 Find the maximum number of real zeros, and Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has. You do not need to find the zeros.
  14. ALG PAPFUTP1

    1. Which equation is best represented by the graph? a. y= (x+3)(x+1)(x-1) b. y= (x-3)(x+1)(x-1) c. y= -(x-3)(x+1)(x-1) d. y= (3-x)(x+1)(x-1) 2. Shown below is the graph of y=x^3-3x^2-6x+8. What are the apparent zeros of the function graphed above?
  15. math

    usethe rational zero theorem to find all real zeros of the polynomisl function.Use the zeros to factor f over the real numbers. f(x)=x^4+2x^33-7x^2-8x+12 what are the real zeros?> use the real zeros to factor f f(x)=
  16. Math - Fundamental Theorem

    We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the
  17. math

    determine between which consecutive integers the real zeros of each function are located. f(x)=3x^3 – 10x^2 + 22x – 4 (I got 0,1) f(x) = x^3 – 12x^2 + 17x – 9 (NO idea) f(x) = x^3 – 9 (I got 8,9) Thanks for the help, I really appreciate it. I
  18. 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
  19. calculus

    use rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22 **please show work**
  20. algebra

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)= x^4+6x^3-11x^2-24x+28 Molon
  21. pre calculus

    use the rational zeros theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=x^4+2x^3-7x^2-8x+12 I am totally lost, please help?
  22. college algebra

    use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-8x^2-31x-22
  23. Math

    f(x)=x64-4x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I don't know if this range
  24. College Algebra

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1
  25. algebra

    List all possible or potential rational zeros for the polynomial below find all real zeros of the polynomial below and factor completely over the real numbers. f(x) x^4 + 10x^3 + 12x^2 - 58x + 35 Someone anyone?????
  26. calculus

    Determine which consecutive integers the real zeros of the function are located. f(x) = 4x^4 - 16x^3 - 25x^2 + 196x -146 Is there an easier way to this besides trial and error synthetic division? Also, how do I approximate the real zeros?
  27. Pre-Cal

    Find the greatest integral upper bound of the zeros for the following function. f(x) = 4x^3 - 2x^2 - 12x + 1 Find the real zero(s) to the nearest tenth. f(x) = 2x^3 + x^2 - 1 [I believe the numbers should be around -1 and 0 and 0 and 1.]
  28. 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
  29. Algebra

    Find the axis of symmetry for y=x^2+4x-7 Find the axis of symmetry for y=3x^2-18x+1 Find the axis of symmetry for y=5x^2+10+3 Determine if the vertex is a maximum or minimum and identify it y=2x^2-3 Determine etc etc for y=-x^2-2x Determine etc etc for
  30. college algebra

    use the rational zeros theorem to find all the real zeros of the polynomial function,. use the zeros to factor f over the real numbers. f(x)=11x^3-x^2+11x-1 please show all work
  31. math

    use the rational zero theorem to find all the real zeros of the polynomial function. use the zeros to factor f over the real numbers: f(x)=4x^4+9x^3+30x^2+63x+14 I cant even find sample problems to help me figure this out. help me please?
  32. algebra

    Could you help me with this? find the real zeros of f(x) = x^3-8^2+9x+18(x-8^2+9x+18 I know it must be real simple. I have a block somewhere. Thanks I think I understand the Descartes rule of sign change. This equation has 2 sign changes. The total amount
  33. Math Algebra

    Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function. 1. 9x^6-5x^4-2x^3+8x^2-4x=0 2. -9x^4+5x^3-2x^2+4x-3=0
  34. calculus

    use the given zeros to find the remaining zeros of the function h(x)=x^4-9x^3+12x^2+138x-1360 zero:3-5i enter the remaining zeros of f please show work
  35. Decartes Rules

    Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. Please check my answers? 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There are 2
  36. Decartes Rule of Signs-Check Problems

    Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There are 2 sign changes So, are
  37. alg2

    Describe the end behavior for the graph of y= 12x^6 + 4x^4 - x^3 + 6x +1
  38. Algebra 2!!!!

    Use the graph to shorten the list of possible rational zeros of the function. Then find all real zeros of the function. 1.) f(x)= 4x^3-8x^2-15x+9 4.) f(x)= 2x^3-5x^2-4x+10
  39. math

    Determine the end behavior of the function as x → +∞ and as x → −∞. f(x) = 1000 − 39x + 51x^2 − 10x^3 As x → +∞, f(x) → ???? . As x → −∞, f(x) → ??? I know that the end behavior of the function is determined by the leading
  40. Decartes Rule

    Can you please check my work? Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There
  41. Decartes Rule of Signs

    Could you explain to me decartes Rule of signs? Here are my questions: Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 choices are: a. 2 or 0 positive zeros,2 or
  42. Math

    Find the Zeros of the following functions f(x) = x/3 +5 ^ That one is layed out so differently I don't understand how to solve. In each of the following, determine the zeros of the function and determine the y-intercept of the graph of the function. f(x) =
  43. math

    The rectangle given has a perimeter of 14 units. Find the value(s) of x by factoring a quadriatic equation. one side= 12/(x+1) other side= 6/(4-x) Remember that the perimeter of a rectangle is: P = 2L + 2W Note: P = perimeter, L = length, and W = width.
  44. Use the rationals theorem

    Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1
  45. College algebra

    Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers, F(x)=7x^3-x^2+7x-1
  46. College algebra

    Use the rationals theorem to find all the zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x^3-2x^2-13x-10 x=
  47. Algebra

    Find all the zeros of the equation. -3x^4+27x^2+1200=0 I know the zeros are –5, 5, –4i, and 4i, but how do I get there?
  48. calculus

    use the rational zeros theorem to find all the real zeros of the polynomial. Use the zeros to factor f over the real numbers. f(x)=2x^3-x^2+2x-1
  49. Pre-Cal.

    Determine between which consecutive integers one or more real zeros of f(x)=3x^4+x^3-2x^2+4 are located? A. no real zeros B. 0 and 1 C. -2 and -3 D. -1 and 0 I was thinking it's either A or C? I need lots of help.
  50. Math - Int Trig

    31) Locate, name, and classify the extrema of the function. Determine intervals which the function is increasing and decreasing f(x) = -x(x^2 - 2) 32) Determine the end behavior of the function f(x) = 2x - x^3
  51. increasing decreasing calc

    f(x)=x^3=12x-24 f'(x)=3x^2+12=0 3x^2=-12 x^2=-4 what is x. would it be x=-2 and 2 because i have to find the interval where the function is increasing or decreasing. i already know how to find the answer but i just got confused on finding the zeros first
  52. math

    I HAVE THESE ANSWERS FOR THE PROBLEMS. COULD YOU DOUBLE CHECK PLEASE, THIS IS A PRACTICE QUIZ WHICH ISN'T A GRADE IT JUST HELPS ME GET READY FOR THE TEST. 1) a 2) b 3) d 4) a 5) d 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i,
  53. algebra two

    which function below, if either, has zeros that are complex conjugates? P(x)= X^4-7x^3-27x^2+63x+81 H(x)=x^3-x^2+25x-25
  54. HELP!!!!!! ASAP

    which function below if either has zeros that are complex conjugates? P(x)=x^4-7x^3-27x^2+63x+81 H(x)=x^4-x^2+25x-25
  55. calculus

    given the following function find, a. zeros and the multiplicity of each b. number of turning points c. end behavior f(x)=(x-1)(x-5) a. x=1 and x=5--is this correct? b. number of turning points I had f(x)-0 BUT my teacher said this-- Note that the equation
  56. math

    f(x)= x^3 - 2x^2 - 21x - 18 all possible rational zeros # of possible positive zeros # of possible negative zeros find all the real zeros
  57. Factor Theorem Math

    Use the Factor Theorem to determine the rational zeros of this function. Then use other methods to determine any other zero of this function. 4x^4-x^3-11x^2-2x+6 (I already did p/q and found a total of 16 possible zeros. I synthetic divide all of them and
  58. Algebra

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 how would I solve this?
  59. Algebra

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3 how would I solve this?
  60. math

    The graph of the polynomial function P(x) is shown. a. List the real zeros of P(x). b. List the turning points of P(x). c. State the left and right behavior of P(x).
  61. math

    The graph of the polynomial function P(x) is shown. a. List the real zeros of P(x). b. List the turning points of P(x). c. State the left and right behavior of P(x).
  62. Math Problem (please help)

    Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to discard any rational zeros that are obviously not zeros of the function. (Enter your answers as a
  63. precalculus

    analyzethe graph of the function Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points. (d) Graph the function Please show
  64. Help !

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3
  65. Algebra 2

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3
  66. algebra

    Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term. -3x5 + 9x4 + 5x3 + 3
  67. Pre cal

    )a function f is defined as f(x) = 3*2^x describe the end behavior of f, please describe in detail how you got the answer and explain your abbreviations.
  68. Calculus

    Find the local maximum and local minimum of the function. f(x) = x^3 − 12x^2 − 27x + 7
  69. algebra

    Find a bound on the real zeros of the polynomial function f(x)=x^4+x^3-4x-6 Every real zero of f lies between ______ and______.
  70. Algebra

    Determine a polynomial function of degree 3 with real coefficients whose zeros are ƒ{2, 1+i .
  71. Math

    I just wanted to double check that I am correct. 1.Find the zeros for the function: f(x)= 4(x-3)(x+2)(x-4)^2 Zeros are: 3,-2, 4(multiplicity 2) 2.Find the zeros for the function: f(x)= x^3-9x Zeros are: 0, 3, -3
  72. algebra

    Coulld someone take the time and check my answers please. 11) without graphing is the system independent, dependent, or inconsistent? y=-x+5 -3x-3y=-15 (my answer; dependent) 12) your club is baking vanilla and chocolate cakes for a bake sale. they need at
  73. math

    Could you please solve so I can double check my answers for the practice quiz? Thank You!! 1. Solve x^3 + 6x^2 + 13x + 10 = 0. a) –2 + 2i, –2 –2i, –2 b) 2 + i, 2 – i, –2 c) –2 + i, –2 – i, –2 d) 2 + 2i, 2 – 2i, –2 2. Find the
  74. College alg

    Analyze the graph of the following function as follows: (a) Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points.
  75. pre-cal

    use the given zero to find the remaining zeros of the function. h(x)=x^4-12x^3+36x^2+68x-525 zero:4-3i
  76. Algebra 1-- Please, check my answers!

    1. What is ((-12x^6 + x)) / ((-4x^2))? A: 3x^4 - 1/4x 2. What is the greatest common factor of the terms of the polynomial 6x^3 - 18x^2 + 12x + 3? A: 3? 3. Which is a solution to n/n+2 = -8/n? a. -4 b. -2 c. 2 d. 4 A: a? 4. Which of the following is
  77. Calculus

    Q.a.Find the stationary points on the graph of y=12x+3x^2-2x^3 and sketch the curve. b.How does your sketch show that the equation 12x+3x^2-2x^3 =0 has exactly three real roots. c.Use your graph to show that the eequation 12x+3x^2-2x^3 = -5 also has
  78. Math

    State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)= 9x^3 - 7x^2 + 10x - 4. The only thing I know is that there are 3 sign changes.
  79. Algebra

    f(x) = -8x4 – 3x + 2 1. Given the function above, what is the right end behavior? 2. Given the function above, what is the left end behavior? 3. Given the function above, what is the maximum number of turns?
  80. Algebra

    f(x) = -8x4 – 3x + 2 1. Given the function above, what is the right end behavior? 2. Given the function above, what is the left end behavior? 3. Given the function above, what is the maximum number of turns?
  81. Algebra 2

    Describe the end behavior of each function. 1. P(x) = 2x^3 + x^2 + 3x + 2 2. P(x) = 5x^4 - 6x^6 + 3x + 2
  82. Urgent math

    R(x) = −x5 + 4x3 − 3x (a) Describe the end behavior of the polynomial function. End behavior: y → rises to the right Incorrect: Your answer is incorrect. as x → ∞ y → falls to the left Incorrect: Your answer is incorrect. as x → −∞ can
  83. pre calculus

    use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:-5-isqrt7, 13 + 2ni, -5 - 3i (where n is a real number) any ideas??????
  84. college algebra--please help

    what does Descartes rule of signs tell you about the possible number of positive real number zeros and the possible number of negative real zeros of the function? 1. f(x)=2x^5-5x^2+x-1 2. f(x)=5x^6+7x^4-x-6 please show work
  85. math

    find the real zeros of the given functions, use the real zeros to factor f. f(x)=-2x4power+9x3power+2x2power-39x+18
  86. Pre-Calculus-check answers

    Find the number of possible negative real zeros for f(x)=6+x^4+2x^2-5x^3-12. Answer: 0 2) Approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth. Answer: no real roots
  87. Pre-calculus-check answers

    Find the number of possible negative real zeros for f(x)=6+x^4+2x^2-5x^3-12. Answer: 0 2) Approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth. Answer: no real roots
  88. pre-calculus

    Find the number of possible negative real zeros for f(x)=6+x^4+2x^2-5x^3-12. Answer: 0 2) Approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth. Answer: no real roots
  89. Pre-Calculus-check answers

    Find the number of possible negative real zeros for f(x)=6+x^4+2x^2-5x^3-12. Answer: 0 2) Approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth. Answer: no real roots
  90. Adv. Math.

    Find the number of possible negative real zeros for f(x)=6+x^4+2x^2-5x^3-12. Answer: 0 2) Approximate the real zeros of f(x)=2x^4-3x^2-2 to the nearest tenth. Answer: no real roots
  91. 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
  92. pre-calculus

    information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i
  93. Algebra

    Please describe the end behavior of the graph of the function below. f(x) = –2x^5 – x^3 + x – 5?
  94. Mathematics

    Describe the end behavior of each function F(x)=-Xsquared -2x+3
  95. calculus--please help!!

    find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 **Use the complex zeros to write f in factored form.** f(x)= Please show work
  96. algebra2

    state the number of positive real zeros, negative real zeros, and imaginary zeros for g(x) = 9x^3 - 7x^2 +10x - 4
  97. Math

    A herd of 100 deer is introduced onto a small island. At first the herd increases rapidly, but eventually food resources dwindle and the population declines. Suppose the number of deer, N(t), after t years is described by the polynomial function: N(t)+
  98. Algebra 2

    Answers to the Inverse Relations and Functions Practice, cause I couldn't find it anywhere. 1. A relation is given in the table below. Write out the ordered pair for the inverse, and then determine is the inverse is a function. B) (0,1), (1,2), (0,3),
  99. algebra

    Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. Write exact
  100. algebra

    1.Graph the function f(x) = (x + 3)3 by hand and describe the end behavior

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