What are the x-intercepts of the polynomial function g(x) = (2x-8)(x+1)(9 – 3x)2 ? (Hint: There should be three of them!)

asked Dec 9, 2021 74.7k views

5 votes

What are the x-intercepts of the polynomial function

g(x) = (2x-8)(x+1)(9 – 3x)2 ?
(Hint: There should be three of them!)

4.8k points

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4 votes

Answer:

The x intercepts are x = 4, x = -1, and x = 3.

Explanation:

$g(x)=(2x-8)(x+1)(9-3x)^(2)\\(2x-8)(x+1)(9-3x)^(2)=0\\2x-8-0\\2x=9\\x=4\\x+1=0\\x=-1\\9-3x=0\\3x=9\\x=3\\$

Graeme Moss answered Dec 15, 2021

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