Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

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Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II

Transcript of Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Page 1: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

Lesson 8.4Algebra II

Page 2: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Agenda

Test results… MUCH BETTER!Lesson 8.4 Multiply and Divide Rational ExpressionsHomework: Read Lesson 8.4, (on pages 577-580) do exercises 1, 3 – 5, 6, 8, 12, 17, 18, 24, 29, 31, 34, 39, 43, 51 and 58.

Page 3: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

Definition of a rational function:A rational function is when you have one polynomial divided by another polynomial.Example:

Page 4: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

Definition of a rational expression:One expression divided by another:Example:

Page 5: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

Sometimes we can simplify a rational expression. If both the numerators and denominators have common factors the expression can be simplified:Some Examples:

Page 6: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

We can also multiply one rational expression by another. Like any fraction, you would multiply the numerator times the numerator and the denominator times the denominator.Example:

Page 7: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

Dividing Rational Expression:

What is the definition of division?

Page 8: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.

Multiplying a Dividing Rational Expressions

Dividing Rational Expression:

What is the definition of division?

That’s right, multiplication of the reciprocal.So when dividing rational expressions… take the reciprocal of the second expression and multiply it by the first.

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Multiplying a Dividing Rational Expressions

Dividing Rational Expression:

Example: