Chapter 7.7, Problem 15E

To determine

To calculate: Factor the polynomial $h^2+12h+36$ .

Answer to Problem 15E

The factor of the polynomial is $\left(h+6\right)\left(h+6\right)$ .

Explanation of Solution

Given information: Given polynomial is $h^2+12h+36$ .

Calculation:Given polynomial is $h^2+12h+36$ .

  $\begin{array}{l}=h^2+12h+36\\ =h^2+2\times h\times 6+6^2\\ a^2+2ab+b^2={\left(a+b\right)}^2\\ h^2+2\times h\times 6+6^2={\left(h+6\right)}^2\\ =\left(h+6\right)\left(h+6\right)\end{array}$

Thus, the factor of the polynomial is $\left(h+6\right)\left(h+6\right)$ .