Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.
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Transcript of Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.
![Page 1: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/1.jpg)
Multiplying a Dividing Rational Expressions
Lesson 8.4Algebra II
![Page 2: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/2.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/3.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/4.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/5.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/6.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/7.jpg)
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.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/8.jpg)
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.
![Page 9: Multiplying a Dividing Rational Expressions Lesson 8.4 Algebra II.](https://reader036.fdocuments.us/reader036/viewer/2022082505/56649ef05503460f94c00349/html5/thumbnails/9.jpg)
Multiplying a Dividing Rational Expressions
Dividing Rational Expression:
Example: