Question

use the factor theron to determine whether g(x) is a factor of f(x) in each of the following cases. f(x)=x^3+3x^2+3x+1,g(x)=x+1​

Answer 1

Step-by-step explanation:

I hope it's help you!

.BBiswas

Answer 2

Hey there!

g(x) is the factor of f(x) if f(-1) = 0.

$f( - 1) = { - 1}^{3} + {3( - 1)}^{2} + 3( - 1) + 1 \\ f( - 1) = - 1 + 3 - 3 + 1 \\ f( - 1) = 0$

f(-1) = 0.

Hence, g(x) is a factor of f(x).

Hope it helps!