Chapter 4.2, Problem 2AYU

2. Factor the expression $6x^2\text{ + }x\text{ - 2}$

To determine

To factorize: The expression $6x^2 + x - 2$.

Answer to Problem 2AYU

$\left(3x + 2\right)\left(2x - 1\right) = 0$

Explanation of Solution

Given:

The expression $6x^2 + x - 2$.

To factorize the expression equate the expression to 0.

$6x^2 + x - 2 = 0$

$6x^2 - 3x + 4x - 2 = 0$

$3x\left(2x - 1\right)2\left(2x - 1\right) = 0$

By zero product property.

$\left(3x + 2\right)\left(2x - 1\right) = 0$

$\left(3x + 2\right) = 0 or \left(2x - 1\right) = 0$