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Unformatted text preview: conjugate Corollary A complex polynomial f of odd degree with real coefficients has at least one real zero. is also a zero of f . Find a polynomial f of degree 4 whose coefficients are real numbers and that has zeros 1, 2, and 2+ i . f(x) Given where all the coefficients are real. a) What is the maximum number of real zeros that f can have? b) What is the minimum number of zeros that f can have? c) What is the maximum number of complex (but not real) zeros of f? 4 4 5 5 ) ( a x a x a x f + + = Find the complex zeroes of the polynomial function There are 4 complex zeros. From Rational Zero Theorem find potential rational zeros Zeros are 2, 1/2, 2 +5 i , 2 5 i ....
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 Spring '10
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