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Q.

Find one example each of a binomial of degree 35 and one example each of a monomial of degree 100?

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a

3 x 35 − 35 and 2 y 99

b

3 x 35 − 35 and 2 y 100

c

3 x 35 − 20 and 2 y 100

d

x 35 − 35 and 2 y 100

answer is B.

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Detailed Solution

We are required to give one example each of a binomial of degree 35, and one example each of a monomial of degree 100.
We must note the following points.
The degree of any polynomial having a non–zero constant only is zero.
The degree of any polynomial having a zero constant only cannot be defined.
The polynomial having only two terms is called a binomial. The general form of a binomial of degree m is

f x = ax m + b; m ≥ 1

.
The polynomial having only one term is called a monomial. The general form of a monomial of degree m is

f y = ay m; m ≥ 1

Hence, the required example of a binomial of degree 35 is

3 x 35 − 35

and the required example of a monomial of degree 100 is

2 y 100

.
Therefore, the correct option is 2.

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