Question

Factor completely,$5x^3+15x^2-20x$

Short answer

The factored form is$5x(x+4)(x-1)$

Step-by-step solution

Given information

Given the polynomial,$5x^3+15x^2-20x$

Calculate the GCF and factor it

The GCF is $5x$. So factoring we get

role="math" localid="1644565639934" $5x(x^2+3x-4)$

Create the factor table for the trinomial

The table is

Factors of$-4$	Sum of factors
$4,1$	$4+1=5$
$4,-1$	$4-1=3$

Substitute the values to form the factored form

The factored form is$5x(x+4)(x-1)$