# Binomials

## Related Calculator: Polynomial Calculator

Binomial is a sum/difference of TWO monomials.

Both monomials are called terms.

Examples of binomials are:

• 5+x
• 2x^2+y^3x
• 10xy^3-zy^2x

Examples of expressions, that are not binomials:

• x+1/x (second term is not a monomial)
• (2-y)/x (division is not allowed)
• xy^2+z-2 (binomial can have only TWO terms)

Degree of the binomial is the largest number among degrees of its monomials.

For example, in binomial 4x^2y^3-9z^8y^7 first term has degree 2+3=5 and second term has degree 8+7=15. The largest of numbers 5 and 15 is 15. Thus, degree of the 4x^2y^3-9z^8y^7 is 15.

Exercise 1. Determine whether the following is a binomial: 2/5x-3/5y?

Exercise 2. Determine whether the following is a binomial: 1/x+2y+3?

Exercise 3. Determine whether the following is a binomial: sqrt(3)x*y+5zy?
Exercise 4. Find degree of the following expression: -xy+5?
Exercise 5. Find degree of the following expression: -p^3q^9+5z^3y^4p^(10)?