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Finding Expressions

  1. Sep 25, 2009 #1
    1. The problem statement, all variables and given/known data

    Find an expression for a cubic function (f) if f(1)=6 and f(-1)=f(0)=f(2)=0

    2. Relevant equations



    3. The attempt at a solution
    I tried to graph the points and find an equation for the function, but couldn't.
     
  2. jcsd
  3. Sep 25, 2009 #2
    Do you know about the relationship between zeros of a function and its factors?
     
  4. Sep 25, 2009 #3
    yeah the factors are the zeros, right?
     
  5. Sep 25, 2009 #4
    Yes. You know what values of x make the function 0, so how do you write the zeros as factors?
     
  6. Sep 26, 2009 #5
    (x+1)(x-2)?
     
  7. Sep 26, 2009 #6
    You have two; what's the last one?
     
  8. Sep 26, 2009 #7
    (x+6) lol I have no idea! I know it involves f(1)=6 though
     
  9. Sep 26, 2009 #8
    If your cubic function has a root at x = 0 ( because f(0) = 0), might you write the factor something like (x + 0)? How would you rewrite that factor and put it with the other two factors?
     
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