Question

use factor theorem to determine whether g(x)=x+1 is a factor of f(x)=x^3+3x^2+3x+1 or not

Answer 1

Answer:

Yes, it is.

Step-by-step explanation:

Hope it helps.

Please mark as brainliest

Answer 2

Answer:

yes, g(x) is a factor of f(x)

Step-by-step explanation:

Given:

• g(x)=x+1
• f(x)=x^3+3x^2+3x+1

We can see that:

• Use of formula (a+b)^3 = a^3+3a^2b+3ab^2+b^3
• x^3+3x^2+3x+1 = (x+1)^3

Then:

• f(x)= (x+1)^3 and it is equal to (g(x))^3
• g(x) is a factor of f(x)

Answer is yes