SOLUTION: In my Algebra 1 class we are working on Factoring expressions, how would you solve 7n^2+9n+2 ??

Question 296988: In my Algebra 1 class we are working on Factoring expressions, how would you solve 7n^2+9n+2 ??
Answer by rpark91(10) (Show Source): You can put this solution on YOUR website!
I would be happy to help you as polynomials are my favorite.
You are given the polynomial and you want to simplify it.

I'm sure that your class has used the term FOIL which stands for
First
Outer
Inner
Last
Factoring is basically reducing or breaking down by using the FOIL method.

1. Break up that polynomial into 2 sections ( )( )
2. Find all the different product possibilities that you could get 7 (only 1 and 7 because 1 time 7 equals 7) so place 1 and 7 at the beginning of each parenthesis. Like this:

3. Find all the different product possibilities that you could get 2 (only 1 and 2 because 1 times 2 equals 2) so place 1 and 2 at the end of each parenthesis. Like this:

4. Now you need to determine signs. Since this equation has all positives (+) place them between values in the parenthesis. Like this:

And your done!

To check your answer, multiply the FIRST values (FIRST comes form F.O.I.L)

Multiply the OUTERS

Multiply the INNERS

Multiply the LAST values

And add them all together and simplify. Like this:

which equals
If you have any questions, e-mail me or ask!

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