SOLUTION: could you please help me factor 27m^8-90m^6+45m^4

Question 241229: could you please help me factor
27m^8-90m^6+45m^4
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
27m^8-90m^6+45m^4

The first step in ANY factoring problem is to take out the COMMON FACTOR. In this case, it would be 9m^4:

9m^4(3m^4 -10m^2 + 5)

The resulting trinomial does not seem to factor

I have a LOT of resources on my own website on the topic of FACTORING. To find my website, do a "BING" or a "GOOGLE" search for my last name "Rapalje". Near the top of the search list, you should see "Rapalje Homepage." Click on this, and look near the top of my homepage for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in "Chapter 2" for various sections on factoring, especially "Section 2.03, Factoring the Common Factor." This is my own explanation especially written for students who have trouble understanding math. I wrote this to students, NOT mathematicians, and I think you will find it easier to understand than your own traditional textbooks!! In addition to this page, the entire website is supported by my "MATH IN LIVING COLOR" pages, where the hardest problems are solved IN COLOR.

In addition, I have a video of me teaching this topic in the classroom a few years ago. To see this FREE video, from my Homepage, look for "Rapalje Videos in Living Color". Select "Basic Algebra", and look for "FACTORING."

If you like my website, please recommend it to family and friends who have trouble understanding math!! It's ALL FREE!!!

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

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