Find the value of c so that (x-2) is a factor of the polynomial p(x). p(x)=x^3 −4x^2 +cx+2

Question

Find the value of c so that (x-2) is a factor of the polynomial p(x).

Answer 1

x - 2 is a factor of p(x) only when p(2) = 0

p(2) = 8 - 16 + 2x + 2 = 0

2x = 6

x = 3