Question

2

3
P() = 0
O x + 1 is a factor of P(x)
O x + 1 is not a factor of P(x)
X
4
$
5
6
7
3
Use the Factor Theorem to determine whether x + 1 is a factor of P (x) = − xª¹ − x³ + 2x + 4.
Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.
8
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Answer 1

To use the Factor Theorem to determine whether x + 1 is a factor of P(x) = -x^4 - x^3 + 2x + 4, we need to evaluate P at x = -1. If the result is 0, then x + 1 is a factor of P(x). If the result is non-zero, then x + 1 is not a factor of P(x).

Substituting x = -1 into the function P(x) gives us:

P(-1) = (-1)^4 + (-1)^3 + 2(-1) + 4

= 1 + -1 + -2 + 4

= 2

Since P(-1) is non-zero, x + 1 is not a factor of P(x).