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# What Are Some Ways of Classifying Polynomials?

**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."

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.

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Q:
## How Do You Multiply Polynomials?

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: -
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## How Do You Subtract Polynomials?

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: -
Q:
## Who Created the Polynomials?

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: -
Q:
## What Is the Fourth Root of 16?

A: The fourth root of 16 is 2. In mathematics, the fourth root of a number is a number r that yields z when raised to power 4, where 4 is the degree of the ro... Full Answer >Filed Under: