Chapter 8.5, Problem 28PPS

To determine

To factor: The polynomial $8r^2+12r$

Answer to Problem 28PPS

  $4r\left(2r+3\right)$

Explanation of Solution

Given:

  $8r^2+12r$

Calculation:

The Distributive Property is given by

  $a\left(b+c\right)=ab+ac\text{ and }ab+ac=a\left(b+c\right)$ , where a , b and c are real numbers

Now, in the given polynomial the GCF is $4r$

So, factored out the GCF and use the distributive property

  $\begin{array}{l}8r^2+12r\\ =4r\left(2r+3\right)\end{array}$

So, the factored form is $4r\left(2r+3\right)$