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1 November, 13:57

Find a degree 3 polynomial with real coefficients having zeros 2 and 3i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation including

P (x) =

+3
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  1. 1 November, 17:32
    0
    f (x) = x³-2x²+9x-18

    Step-by-step explanation:

    complex zeros always occur in pairs.

    zeros are 2,3i,-3i

    f (x) = (x-2) (x-3i) (x+3i) = (x-2) ((x) ^2 - (3i) ^2)

    = (x-2) (x^2-9i^2)

    = (x-2) (x^2+9)

    =x^3-2x^2+9x-18
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