Lesson 11-2 Warm-Up

1
Lesson 11-2 Warm-Up
2
Multiplying and Dividing RationalExpressions
(11-2)

• How do you multiply rational expression?
• How do you simplify a rational expression?

• Multiplying rational expressions is similar to
  multiplying rational numbers. If a, b, c, and d
  represent polynomials (with b ? 0 and d ? 0),
  then
• 
  
• Just as with rational numbers, the product
  may not be in simplest form. Look for factors
  that are common to both the numerator and
  denominator to divide out.
• Example

c d
ac bd
a b
3
Multiplying and Dividing Rational Expressions
LESSON 11-2
Additional Examples
Multiply.
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Multiplying and Dividing Rational Expressions
LESSON 11-2
Additional Examples
3x 1 4
Multiply and .
2
1
1
1
5
Multiplying and Dividing Rational Expressions
LESSON 11-2
Additional Examples
Multiply and x2 7x 12.
1
1
6
Multiplying and Dividing RationalExpressions
(11-2)

• How do you divide rational expression?
• How do you simplify a rational expression?

• Dividing rational expressions is similar to
  dividing rational numbers. If a, b, c, and d
  represent polynomials (with b ? 0, c ? 0, and d ?
  0), then
• ?
  
• Therefore, when dividing two rational
  expressions,multiply by the reciprocal of the
  second expression before dividing out common
  factors.
• Example
• Example

a b
c d
a b
d c
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Multiplying and Dividing Rational Expressions
LESSON 11-2
Additional Examples
Divide by
.
1
1
1
1
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Multiplying and Dividing Rational Expressions
LESSON 11-2
Additional Examples
x2 9x 14 11x
Divide by
(8x2 16x).
1
1
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Multiplying and Dividing Rational Expressions
LESSON 11-2
Lesson Quiz
Multiply or divide.
1.
2.
3x 2
3(x 3)
3.
4.
12x
5.
2(x 5) x 1
6.
x 1