Question

Factor the expression$6x^2+x-2$.

Short answer

The factored form is$\left(2x-1\right)\left(3x+2\right)$.

Step-by-step solution

Step 1. Given information.

The given expression is,

$6x^2+x-2$.

Step 2. Factoring the expression.

Now we can rewrite $x$in the given expression as $-3x+4x$then on factoring we get,

$$\begin{gathered} 6x^2-3x+4x-2 \\ 3x\left(2x-1\right)+2\left(2x-1\right) \\ \left(3x+2\right)\left(2x-1\right) \end{gathered}$$

Therefore, the factored form is$\left(3x+2\right)\left(2x-1\right)$.