Posted by **Miranda** on Tuesday, May 17, 2011 at 10:01pm.

Use the Factor Theorem to determine whether x+2 is a factor of P(x)=2x^4+x^3-3x-9.

Specifically, evaluate P at the proper value, and then determine whether x+2 is a factor.

P(__)=

x+2 is or is not a factor of P(x)____

- Algebra -
**MathMate**, Wednesday, May 18, 2011 at 11:00pm
The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0.

So if (x+2) is a factor of P(x), then

P(-2)=0.

Since P(-2)= 21, it is clear that (x+2) is not a factor of P(x)=2x^4+x^3-3x-9.

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