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Old 11-19-2008, 05:10 PM
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Question Rational function

The number 8 - 5i is a zero of multiplicity 4 of the polynomial function g(x), which has real coefficients. What is the minimum possible degree of g(x)?
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Old 11-19-2008, 05:58 PM
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The number 8 - 5i is a zero of multiplicity 4 of the polynomial function g(x), which has real coefficients. What is the minimum possible degree of g(x)?
note that if 8 - 5i is a zero, then 8 + 5i is a zero (of the same multiplicity). so what do you think the answer is?
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Old 11-19-2008, 05:59 PM
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note that if 8 - 5i is a zero, then 8 + 5i is a zero (of the same multiplicity). so what do you think the answer is?

4?
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Old 11-19-2008, 06:13 PM
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4?
do you know what "zeros" mean?

the polynomial function has AT LEAST the following factors

(x - (8 - 5i))^4(x - (8 + 5i))^4

thus ...
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