How to write in factored and standard form?

Write in standard and factord form. 1. X= -4, 0, 3i, -3i. 2. X=3, 10, 1+i, 1-i. 3. x= i, -i, 2i, -2i

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  • 9 years ago
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    Supposing the question to be: "What polynomial has the following roots?"

    In all cases, use the factor theorem to convert the given roots into factors, then multiply the factors together (It's easiest to multiply the pairs of complex conjugates first.) (So the factored form appears before the standard form below):

    1.

    (X + 4) (X - 0) (X - 3i) (X + 3i)

    X^4 + 4X^3 + 9X^2 + 36X

    2.

    (X - 3) (X - 10) (X - 1 - i) (X - 1 + i)

    X^4 - 15X^3 + 58X^2 - 86X + 60

    3.

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

    x^4 + 5x^2 + 4

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