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pre-calculus

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information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f:
degree 4; zeros: i, 3+i

  • pre-calculus - ,

    complex roots always come in conjugate pairs
    so if i is a root so is -i, and if 3+i is a root, so is 3-i

    so f(x) = (x^2+1)(x - (3+i))(x - (3-i)
    = (x^2 + 1)((x^2 + 6x + 10)

    There are no real zeros.

  • pre-calculus - ,

    am sorry i wrote in incoreectly forgive me, it was suppose to say: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i, sorry again and thank you for taking the time to explain to me and solve the problem, god bless you always:)

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