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5 September, 03:26

Suppose that a polynomial function of degree 4 with rational coefficients has - 2, - 6, - 5-i as zeros. Find the other zero.

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  1. 5 September, 07:16
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    complex roots (zeros) occur in conjugate pairs __ if 7+4i is a zero, then 7-4i is also a zero

    for the coefficients to be rational; any irrational zeros (sqrt (7)) must have a conjugate, so - sqrt (7) is also a zero
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