# How do you factor the polynomials 5br-25b+2r-10?

Feb 2, 2017

$5 b r - 25 b + 2 r - 10 = \left(5 b + 2\right) \left(r - 5\right)$

#### Explanation:

Note that the ratio of the first and second terms is the same as that between the third and fourth terms. So this quadrinomial will factor by grouping:

$5 b r - 25 b + 2 r - 10 = \left(5 b r - 25 b\right) + \left(2 r - 10\right)$

$\textcolor{w h i t e}{5 b r - 25 b + 2 r - 10} = 5 b \left(r - 5\right) + 2 \left(r - 5\right)$

$\textcolor{w h i t e}{5 b r - 25 b + 2 r - 10} = \left(5 b + 2\right) \left(r - 5\right)$