1. 2.6 Factor x2 + bx + c provided ________ = b and ______ = c
FACTORING x2 + bx + c
Algebra
provided ________ = b and ______ = c
Example
because ________ = 6 and ______ = 5

2. 2.6 Factor x2 + bx + c Factor when b and c are positive Solution
Example 1
Factor when b and c are positive
Solution
Find two ________ factors of ___ whose sum is ____.
positive 16 10
Make an organized list.
Factors of _____
Sum of factors
16, ___
16 + ___ = ____
8, ___
8 + ___ = ____
4, ___
4 + ___ = ____
The factors of 8 and ___ have a sum of ___, so they are the correct values of p and q. 2 10

3. 2.6 Factor x2 + bx + c Factor when b and c are positive Check
Example 1
Factor when b and c are positive
Check
Multiply.
Simplify.

4. 2.6 Factor x2 + bx + c Factor when b is negative and c is positive
Example 2
Factor when b is negative and c is positive
Solution
Because b is negative and c is positive, p and q must __________.
be negative
Factors of _____
Sum of factors
____, ____
___ +( ___) = ____
____, ____
___ +( ___) = ____

5. 2.6 Factor x2 + bx + c Factor when b is positive and c is negative
Example 3
Factor when b is positive and c is negative
Solution
Because c is negative, p and q must __________________.
have different signs
Factors of _____
Sum of factors
-10, ____
-10 + ____= ___
10, ____
10 + ____= ___
-5, ____
-5 + ____= ___
5, ____
5 + ____= ___

6. 2.6
Factor x2 + bx + c
Checkpoint. Factor the trinomial.

7. 2.6 Factor x2 + bx + c Solve a polynomial equation 18 x = ______
Example 4
Solve a polynomial equation
Solve the equation
Write original equation.
Subtract _____ from each side. 18
Factor left side.
Zero-product property.
x = ______
or x = _____
Solve for x.
-9 and 2
The solutions of the equation are ______________.

8. 2.6 Factor x2 + bx + c Checkpoint. Complete the following exercise.
7. Solve the equation

9. 2.6
Factor x2 + bx + c