Consider the following polynomial: ?(?)=(2?+1)(?−3)2f(x)=(2x+1)(x−3)2 a.  What is its end behavior? Define degree and leading coefficient, then describe the end behavior of the polynomial function.  b.  How many turning points are there? c.  Find all zeros of the function (x-intercepts) d.  Find the y-intercept of the function

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter5: Polynomials And Polynomial Functions
Section: Chapter Questions
Problem 486RE: In the following exercises, use the Factor Theorem to determine if xcis a factor of the polynomial...
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Consider the following polynomial:

?(?)=(2?+1)(?−3)2f(x)=(2x+1)(x−3)2

a.  What is its end behavior? Define degree and leading coefficient, then describe the end behavior of the polynomial function. 

b.  How many turning points are there?

c.  Find all zeros of the function (x-intercepts)

d.  Find the y-intercept of the function

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