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svlad2 [7]
3 years ago
7

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

Mathematics
1 answer:
solniwko [45]3 years ago
3 0

<span>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</span>
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