Download 6.2 Notes

6.2
Factoring Simple Quadratics
Objective: Learn/review the basics
needed for factoring.
Vocabulary
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Factor
Factor Pairs
Addition
Multiplication
Product
F.O.I.L.
Division Rules
Division Rules
2 even number (numbers ending in 0, 2, 4, 6, or 8)
3 add the digits together, is the sum divisible by 3? recursive
4 check the last two digits
5 ends in 5 or 0
6 divisible by 2 and 3
7 use calculator (there is a test, but it is very time consuming)
8 check the last three digits
9 add the digits together, is the sum divisible by 9? recursive
10 ends in 0
Find the factor pairs of this number.
20
Sum the factor pairs of this number.
1
2
4
20
20
10
5
Find and sum the factor pairs of
this number.
40
Find and sum the factor pairs of
this number.
45
Find and sum the factor pairs of
this number.
64
Find and sum the factor pairs of
this number.
51
Find and sum the factor pairs of
this number.
100
Find and sum the factor pairs of
this number.
150
Factor the following expressions:
2
x
+ 5x + 4
Step 1: Find the factors of 4 that sum to 5.
Step 2: Can you say “Template”?
(x + )(x + )
Step 3: Fill in the blanks in the template with
the appropriate factor pair from step 1.
(x + 4 )(x + 1 )
Step 4: F.O.I.L. to check your work.
Factor the following expressions:
2
z
+ 9z + 8
Step 1: Find the factors of 8 that sum to 9.
Step 2: Can you say “Template”?
(z + )(z + )
Step 3: Fill in the blanks in the template with
the appropriate factor pair from step 1.
(z + 8 )(z + 1 )
Step 4: F.O.I.L. to check your work.
Factor the following expressions:
Step 1: Find the factors of that sum to .
Step 2: Can you say “Template”?
(x + )(x + )
Step 3: Fill in the blanks in the template with
the appropriate factor pair from step 1.
(x + )(x + )
Step 4: F.O.I.L. to check your work.
Integer Multiplication
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Quadratic Factoring
Permutations (possibilities)
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+
both factors are positive
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both factors are negative
+
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the factors have opposite signs
There are four permutations of the
signs in a quadratic equation.
2
x
- 5x + 4
Factor the following expressions:
2
x
- 5x + 4
Factor the following expressions:
2
z
+ 2z - 8
Factor the following expressions:
2
z
- 3z - 10
Assignment
6.2 Worksheet