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Question 9 of 15Use the Factor Theorem to determine whether x +2 is a factor ofP(x)=x³+4x²-x-8.Specifically, evaluate P at the proper value, and then determine whether x+2 is a factor.P(_ _)=x+2 is a factor of P(x)x+2 is not a factor of P(x)Question 10 of 15

Question 9 of 15Use the Factor Theorem to determine whether x 2 is a factor ofPxx4xx8Specifically evaluate P at the proper value and then determine whether x2 i class=

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Okay, here we have this:

Considering the provided polynomial, we are going to identify if x+2 is a factor or not, so we obtain the following:

Evaluating the function at x=-2, we have:

[tex]\begin{gathered} f(-2)=(-2)^3+4(-2)^2-(-2)-8 \\ =-8+16+2-8 \\ =2 \end{gathered}[/tex]

Since P(-2)=2, then it means that x+2 is not a factor of the polynomial.

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