How do you factor the trinomial #-5x^3+15x^2+20x#?

1 Answer
anonymous · Hriman
Mar 29, 2018

#-5x(x-4)(x+1)#

Explanation:

first look for something that all the terms have in common and factor out ----------- every term can factor out #-5x#

after you factor #-5x# you have ----------- #-5x(x^2-3x-4)#

to factor the binomial you think of factors of -4 such that the sum would be #-3#. --------- #(1)(-4)=-4# and #1-4=-3#

therefore the overall answer is #-5x(x-4)(x+1)#

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