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Question

The maximum number of zeroes the polynomial x7+x5+x3+x+1 can have is _______.


  1. 0

  2. 6

  3. 5

  4. 7


Solution

The correct option is D

7


The maximum number of zeroes a polynomial can have is equal to the degree of the polynomial.

The degree of the polynomial x7+x5+x3+x+1 is 7.

Since the degree of the polynomial is 7, the maximum number of zeroes for the given polynomial would be seven.

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