SOLUTION: Dear sir or mam: factoring trinomials completely 16w^2-112w+196

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Question 207784: Dear sir or mam: factoring trinomials completely
16w^2-112w+196

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
It's probably a perfect square trinomial. But first, take out the common factor of 4. ALWAYS TAKE OUT THE COMMON FACTOR FIRST!!

4(4w^2 - 28w + 49)

Now, try this, using perfect squares 4w^2 and 49.

4(2w - 7)(2w-7)
4(2w-7)^2

One more time, please see my own website by clicking on my tutor name "Rapaljer" anywhere in algebra.com. Look for the link on my homepage "Basic, Intermediate, and College Algebra: One Step at a Time." Select "Basic Algebra", Chapter 2, and look for "Factoring Trinomials". See also my page called "MATH IN LIVING COLOR", again, Basic Algebra, Chapter 2. There I have a lot of problems like this solved in "Living Color".

R^2

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