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

2 Answers
Dec 7, 2017

8x^3

Explanation:

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.

Dec 7, 2017

8x^3

Explanation:

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