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  • one year ago

f(x) is a polynomial function of degree 4 whose coefficients are real numbers three of its zeros are 2, 1+2i, and 1-2i. Explain why the remaining zero must be a real number.

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  1. Curry
    • one year ago
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    cause every imaginary zero already has a complex conjugate which is also a zero of the function. Therefore, that pair is already completed. so you're down to 2 zero. Since one of them is a real zero, the last one can't be imaginary.

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