Chapter 8.6, Problem 20P

Factor each expression completely.

$6x^2-10x-4$

To determine

To factor the given equation.

Answer to Problem 20P

  $6x^2-10x-4=2\left(x-2\right)\left(3x+1\right)$

Explanation of Solution

Given:

  $6x^2-10x-4$

Calculation: The solution can be obtained as:

  $\begin{array}{l}6x^2-10x-4=2\left(3x^2-5x-2\right)\\ =2\left(3x^2-5x-2\right)\\ =2\left(3x^2-6x+x-2\right)\\ =2\left[3x\left(x-2\right)+\left(x-2\right)\right]\\ =2\left(x-2\right)\left(3x+1\right)\end{array}$