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Question

# Match the following polynomials with corresponding value of maximum number of zeroes.

A
99
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B
6
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C
16
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D
100
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Solution

## The maximum number of zeroes a polynomial can have is equal to the degree of the polynomial. The degree of the polynomial x6+4x3+5 is 6. Thus, it can have a maximum of 6 zeroes. The degree of the polynomial x16+24x3 is 16 and hence, it can have a maximum of 16 zeroes. The degree of the polynomial x99+1 is 99. Thus, it can have a maximum of 99 zeroes. The degree of the polynomial x100−1 is 100. Hence, it can have a maximum of 100 zeroes.

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