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Question

Find the maximum number of zeroes and degree of the polynomial P(x) = 11x6 + x5 + 3x4 + x3 + x2 + x +1.


A

6 and 6 respectively

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B

6 and 5 respectively

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C

3 and 4 respectively

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D

None of these

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Solution

The correct option is A

6 and 6 respectively


The degree of the polynomial is the highest power on any term in the polynomial, and the maximum number of zeroes a polynomial can have is equal to the degree of the polynomial.

In the given polynomial P(x) = 11x6 + x5 + 3x4 + x3 + x2 + x +1.

The degree of the polynomial is 6 and the maximum number of zeroes is 6.


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