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25 May, 09:03

Give an example of an odd polynomial of degree 3, which is zero when x=-3.

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  1. 25 May, 09:57
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    Odd polynomials are normally 3rd degree

    so

    zero when x=-3

    if a zero is r1 then a factor is (x-r1)

    so

    (x - (-3)) = (x+3)

    odd means f (-x) = - f (x)

    we have 1 root only so

    (x+3) ³=

    the polynomail is f (x) = (x+3) ³
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