How do you factor 5x^3+15x^2-20x5x3+15x220x?

3 Answers
May 26, 2018

5x(x+4)(x-1)5x(x+4)(x1)

Explanation:

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

=5x(x^2+3x-4)=5x(x2+3x4)

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

=5x(x+4)(x-1)=5x(x+4)(x1)

May 26, 2018

5x(x-1)(x+4)5x(x1)(x+4)

Explanation:

We get
5x(x^2+3x-4)5x(x2+3x4)
Solving
x^2+3x-4=0x2+3x4=0
we obtain
x=1x=1
or
x=-4x=4
so finally we get
5x(x-1)(x+4)5x(x1)(x+4)

May 26, 2018

5x^3+15^2-20x=color(blue)(5x(x+4)(x-1)5x3+15220x=5x(x+4)(x1)

Explanation:

Factor:

5x^3+15x^2-20x5x3+15x220x

Factor out the GCF 5x5x.

5x(x^2+3x-4)5x(x2+3x4)

Find two numbers that when added equal 33, and when multiplied equal -44. The numbers 44 and -11 meet the requirements.

5x(x+4)(x-1)5x(x+4)(x1)