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Question: Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real coefficients?


A ) 5
B ) 6
C ) 4
D ) 0

Steps to derive

1 The polynomial with degree 5 with real coefficients must have at least one real zero.
 [Every polynomial function of odd degree with real coefficients has at least one real zero.]



Hence the right answer is Option D

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