# How do you factor by grouping 20x^3-36x^2+35x-63?

Apr 9, 2015

$20 {x}^{3} - 36 {x}^{2} + 35 x - 63$

can be grouped as
$\left(20 {x}^{3} + 35 x\right) - \left(36 {x}^{2} + 63\right)$

Within each grouped term extract the common factors of the sub-terms
$\left(5 x\right) \left(4 {x}^{2} + 7\right) - 9 \left(4 {x}^{2} + 7\right)$

then, again extract the common factor
$\left(4 {x}^{2} + 7\right) \left(5 x - 9\right)$