Mathematics
7 Online
OpenStudy (anonymous):
Factor 3x2 − 12x − 36 completely.
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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
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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.
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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
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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.