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Mathematics 7 Online
OpenStudy (anonymous):

Factor 3x2 − 12x − 36 completely.

OpenStudy (marihelenh):

First you can take out a 3 and get\[3(x^2-4x-12)\]

OpenStudy (anonymous):

3(x − 6)(x + 2) (3x + 6)(x − 2) 3(x + 4)(x − 3) (3x − 4)(x + 3)

OpenStudy (anonymous):

those are answer choices

OpenStudy (marihelenh):

You know it has to be either A or C because the 3 is factored out.

OpenStudy (anonymous):

C

OpenStudy (marihelenh):

No, it would be A. Multiply it out to check it.

OpenStudy (radar):

One obvious factor is 3 getting x2 -4x-12 or 3(x2 - 4x - 12) now factor further the x2 -4x -12.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

So i got (3x+6)(x-6)

OpenStudy (radar):

Factor the (3x+6) "factor completely" means every factor must be prime.

OpenStudy (anonymous):

oh! So it would be A!

OpenStudy (anonymous):

Can you help with one more?

OpenStudy (radar):

A was a good choice, better than rest.

OpenStudy (anonymous):

Which expression is a factor of 3ab − 6a + 4b − 8?

OpenStudy (anonymous):

4b − 2 3a + 4 3b − 4b 3ab − 2

OpenStudy (anonymous):

i got a

OpenStudy (anonymous):

Its A.

OpenStudy (radar):

3ab-6a+4b-8 3a(b-2) +4(b-2) (b-2)(3a+4) are the factors

OpenStudy (radar):

I personally don't like A. Hopefully you can see why I prefer B.

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