What do polynomial functions look like? And what can be consider a polynomial function?
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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? 
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? 
Polynomial Functionshelp
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? 
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 
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 the answer D? 
Writing polynomial functions
How to write a polynomial function with the integral coefficients that have the following roots: #1.) 0, 1/2, 6 #2.) + or  5i 
Graphing polynomial functions
How do i graph the polynomial function of: f(x)= (x+3)(x+1)(x2) squared 
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)=(2x^4)/13 f(x)=x^3+9x(1/x) it would be great if you could do everything step by step and showing your work. 
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 function. 
Math
consider the polynomial (xa)(xb)and the real number line Identify the points on the line where the polynomial is zero. In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which values does the polynomial possibly ... 
Math  polynomial function
Write a polynomial function with integral coefficients having the given roots. 1.) 0, 1/2, 6 2.) +or 5i 
math
Consider the polynomial x^3 + 6x^2 + 3x  10. Without dividing, or graphing, which two of (x+2), (x2), (x+1), and (x1) must be factors of the polynomial? Why/how do you know? 
Polynomial Function
Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 
zeros of a polynomial
polynomial is x^3  x^2 11x + 15 If 3 is the zero of the polynomial, when you divide this polynomial with x3, the remainder has to be 0? yes. If y=x^3  x^2 11x + 15, when y=0 the roots are on the axis. 
Functions
Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^298 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) 
Functions
Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^298 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) 
math
Look at this trinomial 32a^4 + 18a^3  12a Write the polynomial as the product of the GCF of all its terms and a polynomial PLEase explain thanks 
Math
Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
Algebra
Consider the polynomial: f(x) = 2x^3 – 3x^2 – 8x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
Algebra
Consider the polynomial f(x) = 3x3 – 2x2 – 7x – 2. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them. 
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. 
math
How is the range of a polynomial function related to the degree of the polynomial? 
FUNCTIONS HELPPPPP????
Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^298 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) I do not know how does everyone get this answer g(x) = f2(x)... 
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? 
math
1.binomial 2.degree of monomial 3.monomial 4.perfectsquare trinomial 5.standard form of polynomial A.a polynomial with two terms B.a polynomial in which the terms decrease in degree from left to right and there are no like terms C.a polynomial whith two identical binomal ... 
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 of inflection at x= 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 of inflection at x= 2... 
algebra
Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on... 
algbra
Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on... 
Math
24 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 gas required varies as... 
Math ( Polynomial )
If the polynomial, x^4  6x^3 + 16x^2  25x + 10 is divided by another polynomial x^2  2x + k, the remainder comes out to be x + a, find k + a, please work the complete solution instead of giving simply an answer. 
algebra1 question
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the ... 
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 complete ... 
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? 
MathFunctions
1)Expand and simplify. Express each equation in standard form. a) f(x) = 2(x1)(x+4)(x+1)(x3) b) f(x) = (x+2)(x+1)(x+4) c) f(x) = x(x6) 2) For each function in question 1. state the degree of the polynomial and identify the type of function 
Functions
Explain how you can tell whether a polynomial equation is a function and not just a relation. 
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^24x+12 3.n=3;4 and i zeros;f(3)=60 I got:f(x)=6x^3+24x^2+6x+24 
algebra
Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on... 
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 
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 
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 
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 
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 
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 
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 
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 
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 
Math
How do you divide a polynomial function by another polynomial function. 
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 the math behind some ... 
algebra
solve the polynomial y=2x^24x+1 I am sure neither your text nor your teacher asked you to "solve the polynomial y=2x^24x+1 " are you graphing the function, or are you solving the quadratic y=2x^24x+1 ? 
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 numbers whose sum is 20... 
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 root... 
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 complex?). x^3 + 5x^2... 
Finding polynomial from zeros
How to find the polynomial degree 2 and zeros are (1+i) & (1i) I would like to see the steps to solve this. Thanks. If those are the roots, then the following are factors: (x1i)(x1+i) 
college math 116
Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other. In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a function that is f(x) = 2x + 3. When graphed, they ... 
polynomial function
Please check my answers. Find the yintercept of the polynomial function. f(x) = x2  2x + 8 I got:y=8 f(x) = (x + 1)(x  6)(x  1)2 I got: y=6 f(x) = x2(x + 6)(x2  1) I got:y=0 
rational functions
If f(x) is a polynomial function, does 1/f(x) always have a horizontal asymptote? Explain why or why not and provide a counterexample if needed. 
Math
consider the polynomial (xa)(xb) and the real number line In each of the three subintervals of the line, write the sign of each factor and the sign of the product.For which values does the polynomial possibly change signs? 
algebra question
Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x1), i.e., the polynomial looks like (x+5) (2x 1) ( ? ). How many such polynomials you think there are? 
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 
PreCalc
Fill in the blank; •In the process of polynomial division (Divisor)(Quotient)+_______=_______ •When a polynomial function f is divided by xc, the remainder is _______. •If a function f, whose domain is all real numbers, is even and if 4 is a zero of f, then _______ is ... 
math
For every positive integer n, consider all monic polynomials f(x) with integer coefficients, such that for some real number a x(f(x+a)−f(x))=nf(x) Find the largest possible number of such polynomials f(x) for a fixed n<1000. Details and assumptions A polynomial is ... 
Math
What is an example of two functions that intersect at least twice in the first quadrant but can neither be a polynomial or a "simple" function (i.e., sin(x), e^x)? 
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 
Tim
Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^298 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) 
Algebra polynomial
Solve the polynomial 40x^2+2x65 Notice that for x = 1 the value is 23. The number 23 is a prime number and the only factors are thus 23 and 1 up to signs. So, you can simply the search for the factors of the polynomial a great deal by substituting: x = 1 + t which yields 40 ... 
pre cal
Use synthetic division to show that x is a solution of the thirddegree 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 
algebra
Like Terms and Degree Identify the degree of each term of each polynomial. Then find the degree of the polynomial xy^3 + 7x^3y^2  6xy^4 + 2 
math
what is the greatest common factor of the polynomial show: rectangle tiles that have 6x and 6 look like this: ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** !!! !!! !!! !!! !!! !!! 
math
what is the greatest common factor of the polynomial show? rectangle tiles that have 6x and 6 look like this: ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** ** !!! !!! !!! !!! !!! !!! 
Math  Fundamental Theorem
We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odddegree polynomial with real coefficients must have atleast one real root (since the nonreal roots must come in conjugate pairs). But how can we get the same conclusion by ... 
Math
Use synthetic division to show that x is a solution of the thirddegree 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!! 
polynomials
No to both questions. A polynomial is a sum of at least one integer power of x (or other unknown), each multiplied by a constant. '9' is simply a constant. 2^x is a power of 2, not a power of x. Is 9 a polynomial? Is 2^x a polynomial? 
Math
1. Identify the degree, leading term and leading coefficient of each polynomial function. A. f(x)= x(x+1)(3x+1)(x2) B. f(x)= 16+3x^4  9x^2  x^6 + 4x^8 2. Describe the end behavior of a ninthdegree polynomial function with a negative leading coefficient. 
Algebra Question~!
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is not a factor of the ... 
POLYNOMIALS
The cubic polynomial f(x) is such that the coefficient of x^3 is 1. and the roots of the equation f(x) = 0 are 1, 2 and k. Given that f(x)has a remainder of 8 when divided by (x3), find the value of k. okay, this is what i did: x^3 + bx^2 + cx + d = (x1)(x2)(xk) f(3)=8 ... 
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 true. If 9 plus ... 
Math
Given the polynomial functions, find the product function and the specified value. Let f(x) = x + 2 and g(x) = x  10. Find (fg)(x) and (fg)(5). 
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 neither an odd nor an even ... 
Math (polynomial functions)
Hi there, Can someone please help me understand the relationship between the FINITE DIFFERENCE and leading coefficient in a polynomial? I need to be able to determine the leading coefficient from a finite difference. 
Mathprecalc
Is it possible to find a rational function that has xintercepts (2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0? The horizontal asymptote and the xintercepts parts stump me. If you can't reach y=0, then how can you get the xintercepts? And I... 
Pre Calculus
1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^411x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i 
math
As^5.V(s)+Bs^4.V(s)+Cs^3.V(s)+Ds^2.V(s)+Es^1V(s)+F.V(s)=1, where V(s) is the transformed transient output voltage. Rearranging the 5th order transient polynomial equation above we have: V(s) = 1 / H(s) where H(s) is a polynomial is a polynomial in s to be determine. The values... 
Whats the answer
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 211x^28x+6x^2. A) 5x^28x+2; quadratic trinomial B) 5x^28x; quadratic binomial C) 6x^28x2; cubic polynomial D) 8x+2; cubic trinomial 
Math
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of... 
PreCalc
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. Help Please my teacher... 
calculuscan someone please help me with this ques
Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^33x^2+16x48 I put: x^2(x3)+16(x=3) (x3)(x^2+16) For zeros: x3=0 x=0 **My teacher stated check the equation solution again. What is the value for x and hence what is the zero for the ... 
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 polynomial function for ... 
Math
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of... 
algebra
Identify the degree of each term of each polynomial. Then find the degree of the polynomial combine like term. m^3+ 2m^2n3m^2+3ma^2 
PreCal(Please help)
Use synthetic division to show that x is a solution of the thirddegree 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 
Algebra
Do I have this right? A first degree polynomial crosses the x axis A second degree polynomial touches the y axis without crosisng A third degree polynomial flattens against the y axis. 
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 question) 1.5x^3+2xy6^... 
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 polynomial ax^2+b^x... 
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 conditions: • Polynomials and... 
algebra
p(x)=x^3+2x^23x+20 one of this functions zeros is 4 When using synthetic division to find all the zeros of a polynomial function, would you plug in 4 or 4 into the actual equation? 
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^32x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^33x^2... 
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 simple curves in the ...