Question

Give one example of a binomial of degree $35$.

Answer 1

Define binomial and give required example:

1. A polynomial is an expression that consists of variables, constants and exponents, that are combined using mathematical operations.
2. Consequently a binomial can be defined as a polynomial that consists of only two non zero terms.
3. A binomial of degree $35$ must contain at least one term with a variable having an exponent $35$ and no other term must contain a variable with an exponent greater than $35$.

For example:

1. $x^{35}+95$
2. $5x^{35}-x^{34}$
3. $11x^{35}+x$

Hence , $x^{35}+95,$ $5x^{35}-x^{34}$ and $11x^{35}+x$ are examples of binomial of degree $35$.