# How do you factor 10x^2+35x-4x-14 by grouping?

Mar 30, 2018

$10 {x}^{2} + 35 x - 4 x - 14 = \left(5 x - 2\right) \left(2 x + 7\right)$

#### Explanation:

Note that $10 {x}^{2}$ and $35 x$ are both divisible by $5 x$ and $4 x$ and $14$ are both divisible by $2$.

So we find:

$10 {x}^{2} + 35 x - 4 x - 14 = \left(10 {x}^{2} + 35 x\right) - \left(4 x + 14\right)$

$\textcolor{w h i t e}{10 {x}^{2} + 35 x - 4 x - 14} = 5 x \left(2 x + 7\right) - 2 \left(2 x + 7\right)$

$\textcolor{w h i t e}{10 {x}^{2} + 35 x - 4 x - 14} = \left(5 x - 2\right) \left(2 x + 7\right)$

Mar 30, 2018

10x^2+35x−4x−14

=>5x(2x+7)−2(2x+7)

=>(5x−2)(2x+7)

color(white)(dd

Verification,

(5x−2)(2x+7)

=>5x(2x+7)−2(2x+7)

=>10x^2+35x−4x−14