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

Question

2606 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-08T05:33:34

Take out the greatest common factor first.

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

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)#