How do you factor completely #2x^7 - 32x^3#?

1 Answer
Mar 8, 2018

Answer:

Take out the greatest common factor first.

#=2x^3(x+2)(x-2)(x^2+4)#

Explanation:

First, find the highest number that goes into both terms in the expression (in this case #2x^3#).

Divide that out of both terms like so:

#2x^3(x^4-16)#

Then you factor the remaining part as the difference of squares as normal.

#=2x^3(x^2-4)(x^2+4)#

And again:

#=2x^3(x+2)(x-2)(x^2+4)#