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Question
Find the exact number of real zeros and imaginary of the polynomial x9 + 9x7 + 7x5 + 5x3 + 3x
Solution
P(x) = x9 + 9x7 + 7x5 + 5x3 + 3x.
There is no change in the sign of P(x) and P(– x), P(x) has no positive and no negative real roots, but 0 is the root of the polynomial equation P(x).
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