Question 222409: Factor completely. 4w^2+9-12w
thank you
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Re-write this as
4w^2 -12w+9
Notice the perfect squares of 4w^2 and 9. This is probably a perfect square trinomial. However, even if you don't see this, just try to factor it as a TRINOMIAL:
(2w_____)(2w_____)
(2w-3)(2w-3)
(2w-3)^2
For additional explanation on Factoring, especially COMMON FACTOR and TRINOMIAL FACTORING, please see my own website. Do a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. On my Homepage near the top, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 2 for several topics on FACTORING. In these sections, you will find my own non-traditional explanations, that my own students all said were a LOT easier to understand than traditional textbooks. See also the corresponding "MATH IN LIVING COLOR" pages in which problems are solved IN COLOR! I also have FREE videos on the website of me teaching my classes a few years ago. To access the videos, go back to my Homepage, and look for the link "Rapalje Videos in Living Color." Select "Basic Algebra", and select the video on "FACTORING."
R^2
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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