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)