Mathematics:Teaching, Learning and Exploring.
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(Part B Question: NET June-2015) A polynomial of odd degree with real coefficients must have
A. at least one real root
B. no real root
C. only real roots
D. at least one root which is not real
\(\textbf{Option A}\)
Complex roots of polynomials with real coefficients comes in conjugate pairs (\(a+ ib \) and \(a-ib \)). So polynomials of odd degrees with real coefficients must have at least one real root.
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