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

Question

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

P(x)=x^3-4x^2+3x+c

Answer 1

use long or synthetic division, then make the remainder =0

x^3 -4x^2 +3x + c divided by x-2 = x^2 -2x -1 with remainder c-2. set c-2 = 0 then c =2