Jb B.

asked • 07/23/16

Factor completely. Remember to look first for a common factor and to check by multiplying. If polynomial is prime, state this. 27m^2-36m+12


Factor completely. Remember to look first for a common factor and to check by multiplying. If polynomial is prime, state this.

27m^2-36m+12

1 Expert Answer

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Mark M. answered • 07/23/16

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27m2 - 36m + 12
 
What is a common factor of 27, 36, and 12?
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Mark M.

Now factor out the three. 
What is the other factor?
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07/23/16

Mark M.

3(am2 - bm + c)
What are the values of a, b, and c?
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07/23/16

Jb B.

3(1^2-3+12) ?
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07/23/16

Mark M.

3a = 27
3b = -36
3c = 12
What are the values of a, b, and c?
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07/23/16

Jb B.

3(27^2-36+12)?
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07/23/16

Mark M.

If you factor out the 3, the numbers inside must change.
(3·9m2 - 3·12m + 3·4)
If we factor out the three from each, what remains?
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07/23/16

Dan B.

Oh okay I got it . 3(27m^2-36m+9)
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07/23/16

Mark M.

No,
3(9m2 - 12m + 4)
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07/24/16

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