More about
Rational Expressions




                 Reduced Speed Ahead
                 by flickr user taberandrew
Operations on Rational Expressions
   ... follow the same rules as operations on fractions (rational numbers)
            ...
SIGNS
Operations on Rational Expressions
  ... follow the same rules as operations on fractions (rational numbers)

  II Mulitpl...
Factor out -1
Operations on Rational Expressions
  ... follow the same rules as operations on fractions (rational numbers)

    III Divi...
Reducing
RESTRICTIONS!
          We quot;restrictquot; the variable (i.e. list
          the non-permissable values) to
          e...
RESTRICTIONS!
          We quot;restrictquot; the variable (i.e. list
          the non-permissable values) to
          e...
RESTRICTIONS!
          We quot;restrictquot; the variable (i.e. list
          the non-permissable values) to
          e...
First: Factor


Second: Restrictions?




Third: Reduce




Do you understand?
Compare the graphs ...
First: Factor


Second: Restrictions?




Third: Reduce




Do you understand?
Compare the graphs ...
Pre-Cal 20S December 10, 2008
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Pre-Cal 20S December 10, 2008

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Factoring trinomials (a≠1), operations on rational expressions, non-permissible values.

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Pre-Cal 20S December 10, 2008

  1. 1. More about Rational Expressions Reduced Speed Ahead by flickr user taberandrew
  2. 2. Operations on Rational Expressions ... follow the same rules as operations on fractions (rational numbers) (alt hou I Addition and Subtraction a quot;re gh nym ally we ore quot; su don • find a common denominator in h btra 't • add or subtract as required igh ct sch (watch your signs!) ool )
  3. 3. SIGNS
  4. 4. Operations on Rational Expressions ... follow the same rules as operations on fractions (rational numbers) II Mulitplication Re me the mb • factor and reduce to simplest form wit num er! h a era Any f • multiply numerators, then denominators den ny tor act om fact can or in ina or i tor n th reduc e e factor out a -1
  5. 5. Factor out -1
  6. 6. Operations on Rational Expressions ... follow the same rules as operations on fractions (rational numbers) III Division of h ere!) • multiply the numerator by the reciprocal TS ions of the denominator (LO trict res
  7. 7. Reducing
  8. 8. RESTRICTIONS! We quot;restrictquot; the variable (i.e. list the non-permissable values) to ensure there is no division by zero. I Addition and Subtraction • restrict the denominators Don't upset the Math Ninja. She's got a stick.
  9. 9. RESTRICTIONS! We quot;restrictquot; the variable (i.e. list the non-permissable values) to ensure there is no division by zero. II Multiplication • restrict the denominators Don't upset the Math Ninja. She's got a stick.
  10. 10. RESTRICTIONS! We quot;restrictquot; the variable (i.e. list the non-permissable values) to ensure there is no division by zero. III Division • restrict everything except the numerator of the first fraction Don't upset the Math Ninja. She's got a stick.
  11. 11. First: Factor Second: Restrictions? Third: Reduce Do you understand? Compare the graphs ...
  12. 12. First: Factor Second: Restrictions? Third: Reduce Do you understand? Compare the graphs ...

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