SOLUTION: please factor completely 4t^4-17t^2+4

Question 220430: please factor completely 4t^4-17t^2+4
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
4t^4-17t^2+4

This is what I call "Advanced Trinomial Factoring". It just happens to factor in the form of
(4t^2_____)(t^2_____)

The Last times Last has to be 4, with the middle term adding up to -17t^2. Signs must both be NEGATIVE!

(4t^2 -1)(t^2-4)

These are both difference of two squares, so each factor factors as follows:
(2t-1)(2t+1)(t-2)(t+2)

For more help with the topic of Factoring, please see my own website. Do a "Bing" search for my last name "Rapalje", and look for "Rapalje Homepage" near the top of the Bing Search. Near the top of my Homepage is a link "Basic, Intermediate and College Algebra: One Step at a Time." Click on this link and choose "Basic Algebra" and look for Chapter 2. For "Intermediate Algebra" look in Chapter 2, and for College Algebra, look in Chapter 1 for the appropriate sections. My students told me is easier to understand than the traditional textbooks. Also, look for my "MATH IN LIVING COLOR" pages for most of these sections, and also a video of me teaching my class for Basic and Intermediate Algebra. To see the video (which is FREE!), look on my Homepage for the link "Rapalje Videos in Living Color", choose either "Basic Algebra" or"Intermediate Algebra" and select "Factoring."

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