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March 28, 2017

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What are the zeros of the function? what are their multiplicities
f(x)=4x^3-20x^2+24x

numbers -3,-2,and 0 are multiplicity of 1
numbers 3,2,and 0 are multiplicity of 1

  • algebra - ,

    Common factor of

    4 x ^ 3 - 20 x ^ 2 + 24 x
    are 4x

    4 x ^ 3 - 20 x ^ 2 + 24 x / 4
    x =

    x ^ 2 - 5 x + 6

    OR


    4 x ^ 3 - 20 x ^ 2 + 24 x = 4 x * ( x ^ 2 - 5 x + 6 )


    4 x = 0 when x = 0

    Solutions of equation :

    x ^ 2 - 5 x + 6

    are

    x = 2 and x = 3


    Solutions of equation :

    4 x ^ 3 - 20 x ^ 2 + 24 x = 0

    are

    x = 0

    x = 2 and

    x = 3

  • algebra - ,

    thank you

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