SOLUTION: Factor by grouping. thank you 15x^2 + 10x - 9x

SOLUTION: Factor by grouping. thank you 15x^2 + 10x - 9x - 6

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)
==================
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."

There is also a FREE video of me teaching the topic of Factoring (a few years ago!). To see the video, from my Homepage, look for "Rapalje Videos in Living Color." Choose "Basic Algebra" and look for the video.

I hope you will like my non-traditional approach to math. My own students say that my explanations are easier to understand than traditional textbooks. Try my website, and see if it works for you. If it does, please recommend it to friends.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

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