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Question

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


A

7

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B

6

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C

5

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D

0

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Solution

The correct option is A

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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