# How do you factor  2x^2 - 5x - 3?

May 21, 2016

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

#### Explanation:

Multiply a and c. Find two numbers that add to b and multiply to ac

$2 \cdot - 3 = - 6$

$- 6 + 1 = - 5$
$- 6 \cdot 1 = - 6$

Re-write equation with these numbers
$2 {x}^{2} - 6 x + x - 3$

Factorise that equation
$2 x \left(x - 3\right) + 1 \left(x - 3\right)$

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