algebra college

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find the remaining zeros of f.
degree 4 zeros i, -18+i

enter the remaining zeros of f

please help me out!

  • algebra college -

    complex roots always come in conjugate pairs,
    so the roots are ±i and -18+i and -18-i

    so you would have
    (x+i)(x-i)(x+ 18-i)(x+18+i)=0
    (x^2 + 1)(x^2 + 18x + xi + 18x + 324 + 18i - xi - 18i - i^2) = 0
    (x^2 + 1)(x^2 + 36x +324 + 1) = 0
    (x^2 + 1)(x^2 + 36x + 325) = 0

    expand again, and simplify

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