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10 May, 15:13

Write the equation of the polynomial function with the given zeros

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  1. 10 May, 17:45
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    Well I believe you are missing the zeros ... But lets explain the generic case

    Suppose you have n number of zeros ... z1, z2, z3, z4 ... zn-1, zn

    These are the roots of an nth order polynomial

    an. x**n + an-1. x**n-1 + ... a2 x**2 + a1. x**1 + a0 = 0

    This means that xn = zn, xn-1 = zn-1, ... x1 = z1

    The equation is obtained by multiplying

    (x-zn) * (x-zn-1) * ... * (x-z2) * (x-z1) = 0

    For example, imagine the given zeros z1 = 3, z2 = 2

    the equation would be ... (x-3) * (x-2) = 0 ... = = > x**2 - 5x + 6 = 0
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