pre-cal 20s_ reducing rational expressions

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Oct. 26 Precal 20S notes

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Page 1: Pre-Cal 20S_ Reducing Rational Expressions

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Non‐Permissible Values

Restrictions

Rational Expressions

Page 2: Pre-Cal 20S_ Reducing Rational Expressions

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Rational Expression

can be expressed in the form AB

where A, B are polynomials and B≠0

* A rational expression does not exist or is UNDEFINED

when the denominator = 0

E.g. Simplify and state any restrictions

x2 ­ 2x ­ 34x2 ­ 2

1)

Page 3: Pre-Cal 20S_ Reducing Rational Expressions

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2) 2xyz4abc

*Sometimes you might have to factor the expression first before finding any restrictions

6x2 ­ 7x ­ 36xy + 2y

3)

Page 4: Pre-Cal 20S_ Reducing Rational Expressions

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4) y2 ­ 4y + 4(2 ­ y)2

5) 16x4 ­ 81y4(4x2 + 9y2)2 (2x2 ­xy ­ 3y2)

Page 5: Pre-Cal 20S_ Reducing Rational Expressions

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Page 6: Pre-Cal 20S_ Reducing Rational Expressions

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Assignment:

Reducing Rational Expressions (Yellow)

due: ______________