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30 May, 05:57

Cubic polynomial with leading coefficient of 1 and zeros 4 and 5i

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  1. 30 May, 08:28
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    Where there is a zero, a+bi, there is a zero, a-bi

    therfor since there is a zero 0+5i, there is also a zero 0-5i

    zeroes are 4, 5i,-5i

    for zeroes

    r1, r2, r3

    the factors are

    (x-r1) (x-r2) (x-r3)

    so

    (x-4) (x-5i) (x+5i)

    expand

    f (x) = x^3-4x^2+25x-100
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