SOLUTION: I'm not sure how to find the greatest common factor of a polynomial. What is the greatest common factor of 9m^3+30m-24? How'd you get it?

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Question 587502: I'm not sure how to find the greatest common factor of a polynomial. What is the greatest common factor of 9m^3+30m-24? How'd you get it?
Found 3 solutions by stanbon, richwmiller, solver91311:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What is the greatest common factor of 9m^3+30m-24? How'd you get it?
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gcf of 9,30, and -24 is 3
gcf o m^3, m, and no m is no greatest COMMON factor
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So the gcf for your problem is 3.
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Cheers,
Stan H.
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
right off I see 3 is a factor.
9m^3+30m-24
3*(3m^3+10m-8)
Do you really mean 9m^3?
If you did then we are done.
If you meant 9m^2
then 3m^2+10m-8=
(m+4)*(3m-2)

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Write out the prime factorization of each of the terms:







The fewest number of times that 2 appears as a factor is 0, so there are 0 factors of 2 in the GCF

The fewest number of times that 3 appears as a factor is 1, so there is 1 factor of 3 in the GCF

Fewest 5s are zero and fewest s are zero, so the GCF is 3.

John

My calculator said it, I believe it, that settles it
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