Chapter A.3, Problem 84AYU

To determine

To find: The factor completely each polynomial. If the polynomial cannot be factored, say it is prime.

Answer to Problem 84AYU

Prime.

Explanation of Solution

Given:

$x^2+12x+36$

Calculation:

Any polynomial can be written as the product of 1 times itself or as $-1$ times its additive inverse. If a polynomial cannot be written as the product of two other polynomials (excluding 1 and $-1$), then the polynomial is said to be prime.

Therefore the given polynomial is prime.