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

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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) About Me  (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 7n%5E2%2B9n%2B2 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:

%281n+++%29%287n+++%29
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:

%281n+++1%29%287n+++2%29

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

%281n%2B1%29%287n%2B2%29

And your done!

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

1nx7n=7n%5E2

Multiply the OUTERS

1nx2=2n

Multiply the INNERS

1x7n=7n

Multiply the LAST values

1x2=2

And add them all together and simplify. Like this:

7n%5E2%2B2n%2B7n%2B2 which equals 7n%5E2%2B9n%2B2
If you have any questions, e-mail me or ask!