Question

Help please! >< how do i prove that if the polynomial f(x) has a factor (x-a), then f(a)=0.

Answer 1

f(x) = (x - a)(another polynomial say h(x))
f(x) = (x - a)*h(x)
f(a) = (a - a)*h(a)
f(a) = 0*h(a)
f(a) = 0

Answer 2

thank you!