Question 242680: Factor by grouping. thank you
15x^2 + 10x - 9x - 6
Found 2 solutions by stanbon, rapaljer:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Factor by grouping. thank you
15x^2 + 10x - 9x - 6
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15x^2 - 9x + 10x -6
3x(5x-3)+2(5x-3)
(5x-3)(3x+2)
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Cheers,
Stan H.
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! From the first two terms, take out a common factor of 5x; from the last two terms take out a common factor of -3:
15x^2 + 10x - 9x - 6
5x(3x + 2) - 3(3x +2)
This has a common factor of (3x+2)
(3x+2)(5x-3)
For extra explanations on Factoring, especially this topic of Factoring by Grouping, please see my website. Do a Google or a Bing search for my last name "Rapalje". Near the top of the search list, look for "Rapalje Homepage." Near the top of my Homepage, look for "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra." Look in "Chapter 2" for "Section 2.07 Factoring by Grouping."
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Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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