Chapter 8.6, Problem 1P

Factor each expression.

$1.2w^2+13w+15$

To determine

To factor the given equation.

Answer to Problem 1P

  $2w^2+13w+15=\left(w+5\right)\left(2w+3\right)$

Explanation of Solution

Given:

  $2w^2+13w+15$

Calculation: The solution can be obtained as:

  $\begin{array}{l}2w^2+13w+15=2w^2+10w+3w+15\\ =2w\left(w+5\right)+3\left(w+5\right)\\ =\left(w+5\right)\left(2w+3\right)\end{array}$