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

1 Answer
Nov 10, 2015

Answer:

#-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)#