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Question 212898: factor out completely factor GCF first
3t^7+22t^6+7t^5
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! The common factor is  which is the lowest power of t. So take out the .
Now this trinomial is what I call "Advanced Trinomial Factoring". You can factor it like this:
The Last times Last must be 7*1 in order to make the middle term come out to 22t. You can do this by placing 1 on the first blank line, and 7 on the second blank:
If you need an informal explanation of any of these topics of Factoring, together with examples, exercises and answers, please see my own website. Do a "Bing" search for my last name "Rapalje" and look for "Rapalje Homepage" near the top of the search list. Click on the link "Basic, Intermediate and College Algebra: One Step at a Time" near the top of my Homepage. Select "Basic Algebra", and look in "Chapter 2" for several topics on "Factoring". Also, check out my "MATH IN LIVING COLOR" pages on this topic to see solutions to a lot of these problems, IN COLOR of course!
Also, see my video on Factoring by clicking on "Rapalje Videos" on my Homepage!
R^2
Dr. Robert J. Rapalje, Retired
Seminole Community College
Altamonte Springs Campus
Florida
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