### 1. *Remove Common Factors if possible *

### 2.
*If the coefficient of
the x*^{2} *term is 1, then*

*x*^{2} + *bx* + *c* = (*x* + *n*)(*x* + *m*),
where *n* and *m*

·
Multiply to give *c*

·
Add to give *b*

### 3. *If the coefficient of the x*^{2} term is not 1, then
use either

#### 1.
Guess-and Check

1. List the factors of the
coefficient of the *x*^{2} term

2. List the factors of the
constant term

3. Test all the possible
binomials you can make from these factors

#### 2.
Factoring by Grouping

1.
Find
the product *ac*

2.
Find
two factors of *ac* that add to give *b*

3.
Split
the middle term into two terms, using the numbers found in step

4.
Group the four terms into two pairs

5.
Factor out the common binomial