FACTORING x2 bx c

1
FACTORING x2 bx c
Algebra
provided ________ b and ______ c
Example
because ________ 6 and ______ 5
2
Factor when b and c are positive
Example 1
Solution
16
positive
10
Find two ________ factors of ___ whose sum is
____.
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
Factor when b and c are positive
Example 1
Check
Multiply.
Simplify.
4
Factor when b is negative and c is positive
Example 2
Solution
Because b is negative and c is positive, p and q
must __________.
be negative
Factors of _____ Sum of factors


___ ( ___) ____
____, ____
___ ( ___) ____
____, ____
5
Factor when b is positive and c is negative
Example 3
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
Checkpoint. Factor the trinomial.
7
Solve a polynomial equation
Example 4
Solve the equation
Write original equation.
18
Subtract _____ from each side.
Factor left side.
Zero-product property.
Solve for x.
x ______
or x _____
-9 and 2
The solutions of the equation are ______________.
8
Checkpoint. Complete the following exercise.
7. Solve the equation
9
(No Transcript)