SOLUTION: Helping my son with math and having difficulty factoring the following polynomial: x^2 + 5x + xy + 5y Thank you!

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Question 228935: Helping my son with math and having difficulty factoring the following polynomial:
x^2 + 5x + xy + 5y
Thank you!
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Helping my son with math and having difficulty factoring the following polynomial:

x%5E2+%2B+5x+%2B+xy+%2B+5y

Step 1. Factor out x from the first two terms and factor out y in the last two terms.


x%5E2%2B5x%2Bxy%2B5y=x%28x%2B5%29%2By%28x%2B5%29

Step 2. Now, notice x%2B5 is common to both groups with parenthesis. So factor out x%2B5

x%5E2%2B5x%2Bxy%2B5y=%28x%2B5%29%28x%2By%29

Step 3. ANSWER: x%5E2+%2B+5x+%2B+xy+%2B+5y=%28x%2B5%29%28x%2By%29

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J