How do you factor -4x^4+8x^3-20x?

1 Answer
Nov 10, 2015

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

Explanation:

Look for anything that can be factored from everything like a -4x
so -4x^4+8x^3-20x becomes -4x(x^3-2x^2+5)

At this point look to see if x^3-2x^2+5 can be factored, it looks like an x^2 can be taken from x^3-2x^2 which becomes: x^2(x-2)

This gives the final answer:
-4x(x^2(x-2)+5)