Algebra
posted by Miranda on .
Use the Factor Theorem to determine whether x+2 is a factor of P(x)=2x^4+x^33x9.
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)____

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^33x9.