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25 September, 01:44

Find a polynomial (with real coefficients) of degree 4 with zeros at - 3 (multiplicity of 2) and - 2i, and with 6 as the coefficient of x

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  1. 25 September, 02:06
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    Step-by-step explanation:

    If - 2i is a root, then so is + 2i, so

    y = a (x+3) ^2 (x^2+4)

    = a (x^4+6x^3+13x^2+24x+36)

    Since we want 24a = 6, our final polynomial is

    y = 1/4 (x^4+6x^3+13x^2+24x+36)
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