find the value of k if x-3 is the factor of kx^²x^³-kx^²+3kx-k​

find the value of k if x-3 is the factor of kx^²x^³-kx^²+3kx-k​

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2 thoughts on “find the value of k if x-3 is the factor of kx^²x^³-kx^²+3kx-k​”

  1. Let f(x) be the given polynomial.

    f(x)=k²x³-kx²+3kx-k

    Given that x=3

    If (x – @) is a factor of a polynomial,then @ is zero of a polynomial

    So,

    f(x)=f(3)

    Substituting the required value,

    f(3)=k²x³-kx²+3kx-k

    →0 = k²(3)³-k(3)²+3k(3)-k

    →0=27k²-9k+9k-k

    →27k²-k=0

    →k(27k-1)=0

    →k=0 or 27k=1

    →k=1/27 or 0

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