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

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Answer 1 · 2017-12-07T22:35:25

$8 x^{3}$ $8x^3$

You can divide $8 x^{3}$ $8x^3$ from both $8 x^{6}$ $8x^6$ and $32 x^{3}$ $32x^3$ .

$8 x^{6} + 32 x^{3} = 8 x^{3} (x^{2} + 4)$ $8x^6+32x^3 = 8x^3(x^2+4)$

You cannot factor more.

Answer 2 · 2017-12-07T22:36:06

$8 x^{3}$ $8x^3$

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

$8 x^{6} + 32 x^{3}$ $8x^6+32x^3$

Let's take out an $8$ $8$

$8 (x^{6} + 4 x^{3})$ $8(x^6+4x^3)$

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

$8 x^{3} (x^{2} + 4)$ $8x^3(x^2+4)$

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

What is the GCF of the terms of the polynomial 8x^6+32x^3?8x6+32x3?8x^6+32x^3?