How do you factor #15x^3-9x^2-6x#?

1 Answer
H Dev
May 27, 2016

#3x(x-1)(5x+2)#

Explanation:

1) Find the GCF of #15x^3 - 9x^2 - 6x#, which is #3x#.
2) Factor out the GCF: #3x(5x^2 - 3x - 2)#
3) Factor the trinomial in the parenthesis.
#5x^2 - 3x - 2#
#5x^2 + 2x - 5x - 2#
#x(5x + 2)# & #-1(5x + 2)#
#(x - 1)(5x + 2)#
4) Insert in the GCF in front: #3x(x -1)(5x + 2)#

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