Factor each of these– put the answers on a new sheet of paper on which you will start section...
23
r each of these– put the answers new sheet of paper on which you will start section A.3… 2 2 8 2 4 4 2 3 3 2 2 2 4 x x x y x xh h x x q
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Transcript of Factor each of these– put the answers on a new sheet of paper on which you will start section...
Factor each of these– put the answers on a new sheet of paper on which you will start section A.3…
2 2
8
2
4 4
2 3
3
2 2
2 4
x x x
y
x xh h
x x q
Factoring - A Plan of Approach
1. Factor out any common factor:
2. Consider some patterns:
3. TRINOMIALS!
4. Grouping:
a b a b a b
a b a b a ab b
a b a b a ab b
2 2
3 3 2 2
3 3 2 2
( )( )
( )( )
( )( )
REMEMBER TO CONSIDER FACTORING THE FACTORS!
Now, do each one of these problems – by hand!
5
14
10
7
5
2
3
14
16
9
7
10
3
2
35
4
18
7
18
11
34
21
Expressions vs. Equations….
2 3
2
2 3
29
2
2
x x
x
x x
x
The Domain of an expression is all of those values for which it is defined.
For example:
x
x
x x
x
3
6
3 2
4
4 5
2
Rational Expressions:
Since they’re expressions, we simplify them…
po lynom ia l
po lynom ia l
4 8
10 5
2 2
2
2
2 3
x x
x
x x x
x
Simplify these…
2 3 1
10 5
2 2 3 3
1
2
3 2
3
x x
x
x x x
x
Now, do each one of these problems – by hand!
5
14
10
7
5
2
3
14
16
9
7
10
3
2
35
4
18
7
18
11
34
21
OPERATIONS WITH RATIONAL EXPRESSIONS
Addition/Subtraction -
Multiplication/Division - x
x
x
x
2
3 5
3 5
2
x
x
x
x
1
3
1
3
More Multiplication/Division
4 16
5 15
4
2 6
8
2
4
5 6
3
3 2
x
x
x
x
y
y
y
y y
More Addition/Subtraction
6
1
3
1x
x
x
1
2 5 62 2y y
y
y y
More Addition/Subtraction
Complex Fractions:
1 12 2( )x h xh
