Chapter 8.5, Problem 1AGP

To determine

To factor: The polynomial $15w-3v$ using the Distributive Property

Answer to Problem 1AGP

  $3\left(5w-v\right)$

Explanation of Solution

Given:

  $15w-3v$

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 $3$

So, factored out the GCF and use the distributive property

  $\begin{array}{l}15w-3v\\ =3\left(5w-v\right)\end{array}$

So, the factored form is $3\left(5w-v\right)$