**TO FACTOR **x^{2} + bx + c

**a. **First arrange in descending order.

**b. **Use a trial-and-error process that looks for factors of *c *whose sum is *b*.

**c. **If *c *is positive, the signs of the factors are the same as the sign of *b*.

**d. **If *c *is negative, one factor is positive and the other is negative. If the sum of two factors is the opposite of *b*, changing the sign of each factor will give the desired factors whose sum is *b*.

**e. **Check by multiplying.