Question

use the factor therom to determine whether g ( x) is a factor of f (x) in each of following case

f(x)=x^3+3x^2+3x+1,g(x) =x+1​

Answer 1

Answer:

x+1=0

x=-1

F(x)=x³+3x²+3x+1

F(-1)=(-1)³+3(-1)²+3(-1)+1

F(x)=-1+3-3+1

F(x)=0

g(x)=x+1 is a factor of f(x) =x³+3x²+3x+1