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form a polynomial f(x) with real coefficients having the given degree and zeros.

degree: 4; zeros: -1, 2, and 1-2i.

I got an exam tomorrow, i would appreciate any kind of help, thank you.

  • pre-calculus -

    You are given 2 real roots and one complex.
    As I noted before, complex numbers come in pairs,
    so there has to be another one, 1+2i

    so we have
    f(x) = (x+1)(x-2)(x-1-2i)(x-1+2i)

    multiply the last two brackets, the i's will drop out

  • pre-calculus -

    thank you again, life saver

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