Analyzing the polynomial y = (x – 1)(3x – 2)(x + 3) %3D | a. Determine the roots of the polynomial b. Determine the end behaviors c. Determine how many turning points

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter5: Polynomial And Rational Functions
Section5.2: Power Functions And Polynomial Functions
Problem 8TI: What can we conclude about the polynomial represented by the graph shown in Figure 14 based on its...
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Analyzing the polynomial

Analyzing the polynomial
y = (x – 1)(3x – 2)(x + 3)
%3D
|
a. Determine the roots of the polynomial
b. Determine the end behaviors
c. Determine how many turning points
Transcribed Image Text:Analyzing the polynomial y = (x – 1)(3x – 2)(x + 3) %3D | a. Determine the roots of the polynomial b. Determine the end behaviors c. Determine how many turning points
Expert Solution
Step 1

Explanation:

Given that, 

                                         Calculus homework question answer, step 1, image 1

a. Determine the roots of the polynomial.

To find the roots, put y = 0 and solve for x

                                         Calculus homework question answer, step 1, image 2

Roots are: -3 , 1, 3/2

 

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