Question

Give one example each of a binomial of degree 35, and a monomial of degree 100.

Answer 1

Hint: First we are going to write the definition of binomial and monomial and what does degree mean, then with the help of the definition we try to create an example of each of these terms.

Complete step-by-step answer:
Let’s first write the definition of terms:
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
Binomial: It is an algebraic expression of the sum or the difference of two terms.
Monomial: Expression containing single term.
As we have given the meaning of all the necessary terms that are required to solve this question.
Now we will give an example of binomial of degree 35,
${{x}^{35}}+4$ contains two terms and it’s degree is 35.
Now we will give an example of monomial of degree 100,
${{x}^{100}}$ , contains one term and it’s degree is 100.

Note: While solving this question one should be aware of the definitions of binomial, monomial and degree. Only after understanding it’s meaning one should be able to give the correct example of monomial and binomial. Instead of x as variable we can use any variable to write an example.