5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
Bell Work
Graph the following function:
y = x + 2x2 2x 8_______
xintercepts:
VA:
HA:
Hole:
D: R:
Review of simplifying and multiplying fractions:
1520
1. Simplify:
1421
2. Simplify:
3 205 9
3. Simplify:
21 416 7
4. Simplify:
5.4 Multiply and Divide Rational Expressions
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
x2 + 5x 6x2 36
Example 1
Example 2
x2 + x 2x2 1
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
x + 1x2 + 2x 3
x2 + x 6x2 2x 3
Example 3
.
Example 4
9x2 + 3x3x2 2x 1_________ 3x2 4x + 1
3x_________.
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
3 4x3 144x2 21 4x5. .
Example 5
6x2y3 10x3y4
2x2y2 18y2.
Example 6
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
Dividing Rational Expressions
Another way you might see this division problem written:
25415
Review of dividing fractions:
25 ÷ 4
15=
34 ÷ 18
16 =
Example 7
3 4x 8_____ x2 + 3x
x2 + x 6_______÷
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
Example 8
x2 + 6x + 9 x 5_________÷ x2 9
x2 8x + 15_________
Example 9
6x2 + 7x 3 x 1_________÷ (3x 1)
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
Example 10
xx 2____ ÷ 4x2 9
x 2______(2x + 3).
Complex fractiona quotient that contains one or more fractions in the numerator, the denominator, or both
4a2 1a2 42a 1a + 2
Example 11
5.4 Multiply and Divide Rational Expressions.notebook May 12, 2015
x + 2x + 5
x2x + 2x + 1x + 5
Example 12
Assignment: p. 331 # 6, 8, 30, 32, 40
