# How do you factor 6f^3-8f^2+20-15f?

May 2, 2015

$6 {f}^{3} - 8 {f}^{2} + 20 - 15 f$

We make groups of 2 terms first

$= \left(6 {f}^{3} - 8 {f}^{2}\right) - \left(15 f - 20\right)$

Next, we factor out common terms from each group

$= 2 {f}^{2} \left(3 f - 4\right) - 5 \left(3 f - 4\right)$

The factor $3 f - 4$ is common to each of the terms above

 = color(green)((3f - 4)(2f^2 - 5)