SOLUTION: Factor. 77-18w+w^2 Thanks!

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Question 222088: Factor. 77-18w+w^2
Thanks!

Found 2 solutions by checkley77, rapaljer:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
77-18w+w^2
(-11+w)(-7+w) ans.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite this as w^2 -18w + 77
This is a trinomial, which if it factors probably looks like this:
(w_____)(w_____)

You need to find two numbers whose PRODUCT is 77, that ADDS up to -18. Try -7 times -11. It looks like this:

(w-7)(w-11)

For additional explanation on TRINOMIAL FACTORING, you have GOT to see my own website. Do a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. On my Homepage near the top, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 2 for Section 2.04 FACTORING TRINOMIALS. I really believe I have a special explanation with repetition of exercises to help you learn this, the MOST IMPORTANT TOPIC in First Level Algebra. Honestly, this section is MUCH easier to understand than your own algebra book. See also the corresponding "MATH IN LIVING COLOR" pages in which problems are solved IN COLOR! I also have FREE videos on the website of me teaching my classes a few years ago. To access the videos, go back to my Homepage, and look for the link "Rapalje Videos in Living Color." Select "Basic Algebra", and select the video on "FACTORING."

R^2

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