Chapter 8.6, Problem 14P

Factor each expression.

$6g^2-2g-20$

To determine

To factor the given equation.

Answer to Problem 14P

  $6g^2-2g-20=2\left(g-2\right)\left(3g+5\right)$

Explanation of Solution

Given:

  $6g^2-2g-20$

Calculation: The solution can be obtained as:

  $\begin{array}{l}6g^2-2g-20=2\left(3g^2-g-10\right)\\ =2\left(3g^2-6g+5g-10\right)\\ =2\left[3g\left(g-2\right)+5\left(g-2\right)\right]\\ =2\left(g-2\right)\left(3g+5\right)\end{array}$