aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

Unit 11 Rational Functions Day 1: Simplifying, Multiplying and Dividing

A rational function is a function in the form  functions and q(x)≠0

  , where p(x) and q(x) are polynomial 

Simplifying Rational Functions (quotients):  1.  Factor 2.  Cancel factors in the numerator with  common factors in the denominator 

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aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

simplify quotients if you have two factors alike in your numerator and  denominator then they cancel

(x + 6)(x ­ 4)      =      (x ­ 4) (x + 2)(x + 6)             (x + 2)

Examples:

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aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

Sometimes, they will try to trick you.  Here is one way they may try:  (w­1) and (1­w)  These are not the same.  Can you make them the same?

Simplify  

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aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

Multiplying Rational Functions: 1.  Factor numerators and denominators 2.  Divide out common factors (cancel) 3.  Multiply numerators together and       multiply denominators together.

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aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

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aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

Dividing Rational Functions: change to multiplying the reciprocal (keep­change­flip)

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aSimplifying Rational Expressions and Mult­Div day 2 completed.notebook January 25, 2016

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