How do you factor the trinomial #3r ^3 -3r ^2-6r#?

1 Answer
Mar 1, 2016

#3r^3-3r^2-6r=color(blue)(3r(r+1)(r-2))#

Explanation:

#3r^3-3r^2-6r#

Factor out the GCF #3r#.

#3r(r^2-r-2)#

Factor #r^2-r-2#.

Find two numbers that when added equal #-1# and when multiplied equal #-2#. The numbers #1# and #-2# meet the requirements.

Rewrite the expression as its factors.

#3r(r+1)(r-2)#