# Summary of Steps to Factor Quadratic Trinomials

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

*Remove Common Factors if possible*### 2. *If the coefficient of the x*^{2} *term is 1, then*

*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

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

- List the factors of the coefficient of the
*x*^{2}term - List the factors of the constant term
- Test all the possible binomials you can make from these factors

#### 2. Factoring by Grouping

- Find the product
*ac* - 2.Find two factors of
*ac*that add to give*b* - Split the middle term into two terms, using the numbers found in step
- Group the four terms into two pairs
- Factor out the common binomial