How do you factor #15x^5-10x^4+5x^2 #?

1 Answer
Mar 2, 2017

Answer:

#15x^5-10x^4+5x^2=5x^2(3x^3-2x^2+1)#

Explanation:

In the polynomial #15x^5-10x^4+5x^2#, we have three monomials

#15x^5#, #-10x^4# and #5x^2#

As their GCF is #5x^2#, we can take this common

and therefore, dividing each monomial by #5x^2#, we get

#3x^3#, #-2x^2# and #1#.

Hence #15x^5-10x^4+5x^2=5x^2(3x^3-2x^2+1)#