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write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root, 2-7i?

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  • write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root, 2-7i?


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Answer #1 | 13/02 2014 07:09
P(x) = (x - (2 - 7i))(x - (2 + 7i)) P(x) = x^2 - 2x - 7ix - 2x + 7ix + 4 - 14i + 14i + 49 P(x) = x^2 - 4x + 53

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