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30 April, 17:26

Find a cubic polynomial in standard form with real coefficients, having the given zeros.

0 and 2+3i

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  1. 30 April, 20:11
    0
    If 2 + 3i is a zero, then 2 - 3i is also a zero

    x (x - 2 - 3i) (x - 2 + 3i)

    = x (x² - 2x + 3ix - 2x + 4 - 6i - 3ix + 6i - 9i²

    = x (x² - 4x + 4 + 9)

    = x (x² - 4x + 13)

    = x³ - 4x² + 13x
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