Question

In the following exercises, factor completely. $n^2+12n+36$

Short answer

The factors of the polynomial are$(n+6)(n+6)$

Step-by-step solution

Step 1. Given information  

$n^2+12n+36$

Step 2. Factorize the polynomial  

The product of the first and the last term should be such that the sum of numbers should be equal to the middle term.

$n^2+12n+36=n^2+6n+6n+36$

$n^2+12n+36=n(n+6)+6(n+6)$

$n^2+12n+36=(n+6)(n+6)$