Factor​ completely, or state that the polynomial is prime.

Question

Factor​ completely, or state that the polynomial is prime.

x2+121

Answer 1

hi,

x² + 121 is prime.

Had the polynomial been subtraction (x²-121) instead of addition, you would have had the difference of 2 squares and could have factored it as (x-11)(x+11).

Answer 2

Assume that the polynomial is x² + 121?

This polynomial is prime.

BTW, if the polynomial was x² - 121 it would have two factors because

x² - 121 = (x - 11) (x + 11)