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Question

The degree of the polynomial ac8+3ab2c5+21 is


A

8

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B

9

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C

5

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D

10

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Solution

The correct option is B

9


We see that the polynomial given is a polynomial in three variables(a,b and c). The terms here are ac8, 3ab2c5 and 21.

The sum of powers of the variables in ac8 is 1+8=9.

The sum of powers of the variables in 3ab2c5 is 1+2+5=8.

The sum of powers of the variables in 21 is 0.

9, being the greatest of these sums, is the degree of the given polynomial.


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