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Question 212656: factor completely.
x^3+9x^2-3x-27
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! This is factoring by Grouping! It usually is a good idea to group the first two terms together and the last two terms. From the first two terms, you can factor a common factor of x^2, and from the last two, you can take out a -3 factor:
x^3+9x^2-3x-27
x^2 (x+9)-3(x+9)
Now, you have a common factor of (x+9):
(x+9)(x^2-3)
For additional explanation on the topic of factoring, see my own website. You can do a Bing search for my last name "Rapalje", and look for "Rapalje Homepage" at the top of the search list. For an explanation of a variety of topics of factoring, look for the link "Basic, Intermediate and College Algebra: One Step at a Time". Choose "Basic Algebra" and look in Chapter 2 for several sections on Factoring. See also the "MATH IN LIVING COLOR" solutions for many of these exercises!
You can also access my own video of me teaching this section FREE on the website. From my Homepage, look for the link "Rapalje Videos", choose "Basic Algebra" and look for the topic of "Factoring". This is all free, and I think it's an explanation you can understand easier than the traditional explanations in traditional textbooks!!
R^2
Dr. Robert J. Rapalje
Seminole Community College
Altamonte Springs Campus
Florida
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