SOLUTION: how do you factor by grouping c^2+3c+7cq+21q

Question 596870: how do you factor by grouping c^2+3c+7cq+21q

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
c^2 + 3c + 7cq + 21q

Group the first two terms and the last two terms together. Factor a "c" from the first two terms, and a "7q" from the last two terms.

c(c+3) + 7q(c+3)

Now, factor out the common factor of (c+3):
(c+3)(c + 7q)

For additional explanation on FACTORING, please see my own website. The easiest way to find it is to use the easy to spell and easy to remember link www.mathinlivingcolor.com. On this single page website, there is a link at the bottom of the page that takes you to my Homepage.

Near the top of my homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", and choose Basic Algebra (Chapter 2). Look for Section 2.07 Factoring by Grouping.

There you will find explanations that may be easier to understand than your traditional textbooks, and many of the exercises from these sections are solved in color on the "MATH IN LIVING COLOR" pages that go with these sections. There are also VIDEOS of me teaching this topic a few years before I retired. These videos are FREE, and you can see them by looking on my Homepage for the link "Rapalje Videos in Living Color." There are videos on Factoring in Basic Algebra and Intemediate Algebra.

If you like my website, please tell your friends and family. It's all FREE. You can contact me by Email at rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Professor of Mathematics
Seminole State College of Florida
RELATED QUESTIONS
Factor by grouping:... (answered by checkley75)

How do factor by... (answered by stanbon)

How do you factor 12x� -15x� - 18x by... (answered by mananth,MathTherapy)

How do I: Factor by grouping: 3x^3+2x^2+ 3x+2 Thank you... (answered by KMST)

How do I Factor by grouping: 3x^3+2x^2+ 3x+2 ? Thank... (answered by lynnlo)

how do you factor 5x^5-6x^3+4x^2 by... (answered by funmath)

How do you factor by grouping this problem (4x^2 + 20x + 5y +xy) whats the... (answered by vleith)

How do I factor this by grouping {{{35x^3-20x^2+21x-12}}}? Thank you. (answered by Earlsdon,JBarnum)

Factor by grouping. 61. 3c-c^2+3d-cd My solution. Please help i'm not sure if i am... (answered by checkley77)