Question

What is the GCF of x^3+2x^2+3x+6

Answer 1

\[ x^3+2x^2+3x+6\]\[ x^2(x+2)+3(x+2)\]can you finish the problem from here?

Answer 2

So the GCF is: x^2(x+2)+3(x+2)

Answer 3

do you know what a GCF is ?

Answer 4

I factored it all the way and got (x^2+3)(x+2)

Answer 5

It doesn't make sense to speak of the GCF of a single item.

Answer 6

Inorder to factor them I had find the GCF

Answer 7

the greatest common factor common to what? You have only one polynomial there.

Common: belonging equally to, or shared alike by, two or more

Answer 8

No need to find the GCF to factor this. Just do it by grouping:

\[x^3+2x^2+3x+6\]\[(x^3+2x^2)+(3x+6)\]\[x^2(x+2) + 3(x+2)\]\[(x+2)(x^2+3)\]