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Math Help - how to find cubic polynomial from 4 given points

  1. #1
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    how to find cubic polynomial from 4 given points

    hi,

    i am given four points like (2,0.5),(3,0.3333),(4,.25),(5,02)
    how can i get the cubic polynomial from the given points..
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  2. #2
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    A cubic polynomial has the form y = ax^3 + bx^2+cx+d

    Now plug all your values into this equation and you will end up with a system of 4 linear equations which can be solved to find the values of a, b, c and d. A good calculator can do this or I'm sure if you looked up 'simultaneous equations solver' or the like online you can find the solutions.
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  3. #3
    Super Member Showcase_22's Avatar
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    Can't you also use a matrix and elementary column operations to get the values of a,b,c and d?
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