```Question 296988
I would be happy to help you as polynomials are my favorite.

You are given the polynomial {{{7n^2+9n+2}}} 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:

{{{(1n   )(7n   )}}}

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:

{{{(1n   1)(7n   2)}}}

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

{{{(1n+1)(7n+2)}}}

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

{{{1nx7n=7n^2}}}

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^2+2n+7n+2}}} which equals {{{7n^2+9n+2}}}

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

```