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Tranformation of polynomials

  1. Mar 28, 2014 #1
    1. The problem statement, all variables and given/known data
    I want to transform a polynomial of kind p(x)=ax³+bx²+cx+d in another like p(t)=At³+B. Is possible?

    2. Relevant equations
    Is possible to transform a polynomial of kind ax³+bx²+cx+d in another like t³+pt+q.
    https://en.wikipedia.org/wiki/Cubic_formula#Reduction_to_a_depressed_cubic
    But, I wish to eliminate the quadratic term and the linear term too.

    3. The attempt at a solution
    None well successful that compensates write here.
     
  2. jcsd
  3. Mar 28, 2014 #2

    AlephZero

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    Science Advisor
    Homework Helper

    It is not possible. A polynomial x³+bx²+cx+d can have three different real roots. A polynomial At³+B can not.
     
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