Q:

# What are some ways of classifying polynomials?

A:

Polynomials are classified by both their number of terms and by their degree. A polynomial consists of constants, variables, coefficients and exponents. In the polynomial 4X^2 + 8, eight is the constant, x is the variable, four is the coefficient and two is the exponent. In a polynomial, terms can be added, subtracted, multiplied or divided. "Poly" means many, and "nomial" means term. Therefore, polynomial translates to "many terms."

## Keep Learning

A "monomial" is a single term, such as 9x^2. A "binomial" is a polynomial made up of two monomials, such as 9x^2 + 5x. A "trinomial" is a polynomial made up of three monomials, such as 9x^2 + 5x - 8. Any polynomial made up of more than four monomials is simply known as a polynomial.

The degree of a polynomial is determined by its highest exponent. For example, 9x^5 + 2x^4 - 4x^3 - 8x^2 + 2x + 9 is of the fifth degree because the highest exponent is five. 3x^3 - 6x^2 - x - 7 is of the third degree because the highest exponent is three. Polynomials are commonly ordered in decreasing exponential order beginning with the term with the highest exponent and ending with the term with the lowest exponent.

Sources:

## Related Questions

• A: Subtracting two polynomials is a two-step process that starts by applying the negative sign across each term in the second polynomial. The second step comb... Full Answer >
Filed Under:
• A: There is no one specific person who invented the polynomials, but their history can be traced back to the Babylonians. They used verbal instructions for so... Full Answer >
Filed Under:
• A: To divide polynomials, write the polynomials in long division form, and divide each numerator by the first term of the denominator. Multiply the denominato... Full Answer >
Filed Under:
• A: You can multiply polynomials by using the FOIL method. FOIL is an acronym that stands for First, Outer, Inner, Last. There are many other ways to multiply ... Full Answer >
Filed Under:
PEOPLE SEARCH FOR