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Algebra 8 Online
OpenStudy (anonymous):

Can 6x + 9 be factored? I'm sure it can but I'm just not in the factoring zone right now haha thanks

OpenStudy (fibonaccichick666):

Do 6 and 9 share any common divisors?

OpenStudy (bibby):

You can write out the factors and look for the GCF

OpenStudy (anonymous):

@FibonacciChick666 Yeah, 3

OpenStudy (fibonaccichick666):

So can you factor anything out?

OpenStudy (anonymous):

Well 3 would be the factor number thing, but the part that stumps me is the 6x...

OpenStudy (fibonaccichick666):

What happens if you divide 6x by 3?

OpenStudy (bibby):

when you divide 6x by 3, only the constants can be divided. it's like saying 6/3 * 2

OpenStudy (anonymous):

6x divided by 3 would be 2x, right?

OpenStudy (unklerhaukus):

6x+9=3(... + ..)

OpenStudy (fibonaccichick666):

Yes that is correct @bunnyslippers, So based off of the template UnkleRhaukus gave you, what is the factorization?

OpenStudy (fibonaccichick666):

Well, what did you just see that you can take out of both numbers? And no, it's not that difficult

OpenStudy (unklerhaukus):

6x + 9 =3*... + 3*.. = 3( ... + .. )

OpenStudy (fibonaccichick666):

There is no \(x^2\), so it's just as simple as pulling one thing out

OpenStudy (fibonaccichick666):

Did ya get it?

OpenStudy (anonymous):

No...

OpenStudy (fibonaccichick666):

so we have \(6x+9\) we want to turn that into something that pulls out the common factor of 6 and 9

OpenStudy (anonymous):

Which is 3

OpenStudy (fibonaccichick666):

So 3 times what = 6x+9?

OpenStudy (anonymous):

2x+3??

OpenStudy (fibonaccichick666):

So, what would be the final answer for factorization?

OpenStudy (anonymous):

3(2x+3) ?

OpenStudy (fibonaccichick666):

yup yup

OpenStudy (anonymous):

Wow ok, sorry for being so dumb haha thank you

OpenStudy (fibonaccichick666):

np

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