Post on 03-Jan-2016
Multiplying a Dividing Rational Expressions
Lesson 8.4Algebra 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.
Multiplying a Dividing Rational Expressions
Definition of a rational function:A rational function is when you have one polynomial divided by another polynomial.Example:
Multiplying a Dividing Rational Expressions
Definition of a rational expression:One expression divided by another:Example:
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:
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:
Multiplying a Dividing Rational Expressions
Dividing Rational Expression:
What is the definition of division?
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.
Multiplying a Dividing Rational Expressions
Dividing Rational Expression:
Example: