P(x)=4x^3+cx^2+x+2 Math problem

Question

find the value of c so that the polynomial p(x) is divisible by (x+2)

Answer 1

4(-2)^3 + c(-2)^2 -2 + 2 = 0

-32 + 4c = 0

4c = 32

c = 32/4 = 8

c=8

divide 4x^3 + 8x^2 + x + 2 by x+ 2 = 4x^2 + 1, with no remainder