What is the GCF of the terms of the polynomial #8x^6+32x^3?#

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Answer 1 · 2017-12-07T22:35:25

#8x^3#

You can divide #8x^3# from both #8x^6# and #32x^3#.

#8x^6+32x^3 = 8x^3(x^2+4)#

You cannot factor more.

Answer 2 · 2017-12-07T22:36:06

#8x^3#

If a GCF is not immediately obvious, I like to just start, and as I go I usually find more:

#8x^6+32x^3#

Let's take out an #8#

#8(x^6+4x^3)#

Now let's see what we can do about those variables; let's remove #x^3#

#8x^3(x^2+4)#

There are no other common factors, so #8x^3# is the GCF of #8x^6+32x^3#