Factor Theorem find factor

Question

Use the Factor Theorem to determine whether x-2 is a factor of P(x) = -x^4 + x^3 - x + 7.Specifically, evaluate P at the proper value, and then determine whether x-2 is a factor.

P(?) =?

is x-2 a factor of P(x)

Is x-2 not a factor pf P(x)

Answer 1

P(x)=-x^4+x^3-x+7

P(2) =-16+8-2+7=-3

No, x-2 is not a factor

to be a factor P(2) would have had to equal zero