Chapter 8.6, Problem 70SR

To determine

To Find: If possible, and if the polynomial cannot be factored, then prime is to be written.

Answer to Problem 70SR

The factored form is: $(6+3c)(6-3c)$

Explanation of Solution

Given information:

The polynomial expression is:

  $36-9c^2$

Calculation:

Here the polynomial expression is:

  $36-9c^2$

The strategy is to factor the polynomial, if possible, and if the polynomial cannot be factored, the prime is to be written.

The polynomial expression can be factored as below:

  $36-9c^2$

  $=6^2-{(3c)}^2$

  $=(6+3c)(6-3c)$

Hence, the factored form is: $(6+3c)(6-3c)$