SOLUTION: Factor the following expression completely: 30y^4-25y^3-125y^2 Help--I don't understand this problem

Question 567865: Factor the following expression completely:
30y^4-25y^3-125y^2
Help--I don't understand this problem
Found 2 solutions by mananth, rapaljer:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
30y^4-25y^3-125y^2

There is a COMMON FACTOR of 5y^2:
5y^2(_____-_____-_____)
5y^2(6y^2 -5y -25)

The TRINOMIAL probably factors into one of these:
5y^2(3y_____)(2y_____) or 5y^2(6y_____)(y_____)

Try the first one first:
5y^2 (3y___5)(2y___5)
5y^2(3y+5)(2y-5)

For a complete explanation of this and other topics in FACTORING, please see my own website. The best way to find it is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. At the bottom of the page there is a single link that takes you to my Homepage. On my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in "Chapter 2" for "Section 2.03 Factoring the Common Factor" and also "Section 2.06 Advanced Trinomial Factoring." Here you will find my own non-traditional explanation that my own students used to find much easier to understand than most of the other textbooks being used. I also have lots of examples, exercises, and answers. In addition, most of the hardest problems are solved in color on the MATH IN LIVING COLOR pages that go with this topic. There is a VIDEO of me teaching FACTORING in class before I retired a few years ago. To find the video, look on my Homepage for "Rapalje Videos in Living Color," choose "Basic Algebra" and select the "Factoring" video. It's ALL FREE on my website!!!

To contact me please use my Email address at rapaljer@seminolestate.edu.

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