MA100 Lecture Notes - Rational Function, If And Only If

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16 Oct 2011
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Equations and Inequalities
Solving polynomial equations
1) Factor first or use quadratic formula
2) A product is zero if at least one or more of its factors is zero, ab=0 a=0 or b=0 or both
Example: solve
a)    
   
    
 
b)     
      
  
c)         

Solving rational expressions
  iff p(x)=0 and q(x)0 therefore solve p(x)=0 but make sure that the answers do not make the
denominator equal zero.
Example: solve

  
    
    
   
Polynomial inequalities
1) Solve the corresponding equality
2) Construct a sign chart
3) Choose the appropriate intervals
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