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Math, Pre Calc

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Given that (+-2) and i are the roots of a 4th degree polynomical, find the equation.

Please help! Thank you:)

  • Math, Pre Calc -

    complex roots come in pair, so -i is also a root

    f(x) = (x-2)(x+2)(x-i)x+i)
    = (x^2-4)(x^2+1)
    = x^4 - 3x^2 - 4

  • Math, Pre Calc -


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