Question

by using factor theorem in the follwing exampal determine whether q(x) is a factor p(x) or not 1). p(x)=x3-x2-x-1 q(x)=x-1

Answer 1

By FT-
x-1=0
x=1
Substituting this value,
p(x)=(1)^3-(1)^2-1-1
p(x)=-2.