Question 242670:  What is the greatest common factor of  
30p^4q^3r+42^2r-18p^2q^2r 
 Found 2 solutions by  stanbon, rapaljer: Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! What is the greatest common factor of  
30p^4q^3r + 42p^2r -18p^2q^2r 
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Look at the coefficients: GCF = 6 
Look at the p factors: GCF = p^2 
Look at the q factors: GCF = no common 
Look at the r factors: GCF = r 
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GCF = 6p^2r 
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Cheers, 
Stan H. 
 Answer by rapaljer(4671)      (Show Source): 
You can  put this solution on YOUR website! The largest NUMBER that divides into all three terms is 6.  For the variables, take the lowest power of the variable.  However, something is missing in the second term, so I can't finish this one.  Maybe you can let me know what the middle term is.
 
 
In the meantime, why don't you take a look at my website to see my own explanation of Factoring the Common Factor.  To find my website, do a Google or a Bing search for my last name "Rapalje".  Near the top of the search list, look for "Rapalje Homepage."  Near the top of my Homepage, look for "Basic, Intermediate, and College Algebra: One Step at a Time."  Choose "Basic Algebra."  Look in "Chapter 2" for "Section 2.03 Factoring the Common Factor."
 
 
There is also a FREE video of me teaching the topic of Factoring (a few years ago!).  To see the video, from my Homepage, look for "Rapalje Videos in Living Color."  Choose "Basic Algebra" and look for the video "Factoring".  
 
 
I hope you will like my non-traditional approach to math.  My own students say that my explanations are easier to understand than traditional textbooks.  Try my website, and see if it works for you.  If it does, please recommend it to friends.
 
 
Dr. Robert J. Rapalje, Retired 
Seminole State College of Florida 
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