The Factor Theorem

Question

Use the Factor Theorem to determine whether x-1 is a factor of =Px+−2x3−2x22x8 .Specifically, evaluate P at the proper value, and then determine whether x-1 is a factor.

p(?) = ?

is p(x) a factor of x-1 or not

Answer 1

if P(x) =-2x^3-2x^2 +2x^8

then P(1) =-2-2+2 = -2

x-1 is a factor, when P(1)=0

if P(1) doesn't = 0 then x-1 is not a factor