Chapter SH, Problem 8.5.2EP

To determine

The factors of the given polynomial.

Answer to Problem 8.5.2EP

  $\left(a+8\right)\left(a-8\right)$

Explanation of Solution

Given:

The given polynomial is:

  $a^2-64$

Calculation:

According to the theorem,

  $a^2-b^2=\left(a+b\right)\left(a-b\right)$

The factors of the given polynomial will be:

  $\begin{array}{l}=a^2-64\\ =\left(a+8\right)\left(a-8\right)\end{array}$