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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!

What are the zeros of the polynomial function?

Select EACH correct answer.

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!! What are-example-1

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Answer:

The zeros occur when x = -3 , -1 , 1 and 7

Explanation:

I don't exactly know how to do this so I can show you how to do it using some sort of method of division. There are 2 huge steps to be taken. Start with 1

Using synthetic division you get

-1 || 1 - 4 -22 4 21

-1 5 17 -21

===================

1 - 5 -17 21 0

So far we have x = - 1 or (x + 1) is a factor.

It turns out by trial and error that x = - 3 is a factor. What you get after that synthetic division is x^2 - 8x + 7 which factors into (x - 7)(x - 1)

So what we get is

(x - 1)(x + 1)(x - 7 )(x +3)

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