## 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

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