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7 April, 20:06

For the polynomial function ƒ (x) = x5 - x4 - 9x3 + 9x2, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

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  1. 7 April, 21:20
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    Give f (x) = x5 - x4 - 9x3 + 9x2, to obtain the zero we need to factorize the expression. This will give:

    x (x+3) (x-1) (x-3)

    thus the zeros will be:

    x=-3

    x=0

    x=1

    x=3
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