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

3 Answers
May 26, 2018

Answer:

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

Explanation:

#"take out a "color(blue)"common factor "5x#

#=5x(x^2+3x-4)#

#"the factors of - 4 which sum to + 3 are +4 and - 1"#

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

May 26, 2018

Answer:

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

Explanation:

We get
#5x(x^2+3x-4)#
Solving
#x^2+3x-4=0#
we obtain
#x=1#
or
#x=-4#
so finally we get
#5x(x-1)(x+4)#

May 26, 2018

Answer:

#5x^3+15^2-20x=color(blue)(5x(x+4)(x-1)#

Explanation:

Factor:

#5x^3+15x^2-20x#

Factor out the GCF #5x#.

#5x(x^2+3x-4)#

Find two numbers that when added equal #3#, and when multiplied equal #-4#. The numbers #4# and #-1# meet the requirements.

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