how do you get the GCF i'm doing factoring with polynomials and it feels like i am pulling teeth cause i suck at it

Question

uri · Answer

What's the Question?

anonymous · Answer

3x5 + 9x3 + 12x
its just a sample question i need to get this down before the test so could we like disect this problem to the point where i can do it forwards and backwards?

uri · Answer

Well what do you think is in common?

anonymous · Answer

what?

uri · Answer

3x1=3
3x3=9
3x4=12

So 3 is common right?

anonymous · Answer

oh yes

uri · Answer

And Everyone has an x with it...so x is in common too right? every one has atleast one x in common,Right?

anonymous · Answer

right

uri · Answer

So,
3x5 + 9x3 + 12x
3x(x^4+3x^2+4)

uri · Answer

Get it? @splatter6

anonymous · Answer

ok and from then we would just multiply?

uri · Answer

Multiply..what?

anonymous · Answer

3 into all those, right, to check it

uri · Answer

Yeah you can check...it's right.

anonymous · Answer

ok and so tht would be the answer?

uri · Answer

I think yes..

uri · Answer

@jdoe0001

anonymous · Answer

ok thanks i will be back later for more problems i need to go to the store so keep it sunny san deigo

jdoe0001 · Answer

yeah, 3x is all you can get out of it

uri · Answer

:3