Polynomials

Objectives

Classify Polynomials
Write Polynomials in standard form
Simplify Polynomial Expressions

Definitions

Monomial : A single term expression. It may be a number, a variable, or a product of numbers and variables with whole number exponents.

Examples :

Polynomial : Is a monomial, or a sum or difference of monomials.

Examples :

Classifying Polynomials by Degree

Polynomials classified by their largest exponent is known as classifying by degree.

Classifying Polynomials by Terms

Polynomials may be classified by the number

of terms they have. Terms are separated by

addition or subtraction operations.

Polynomial Standard Form

Polynomials of a single variable are typically written with exponents in descending order. Once a polynomial is in standard form the first coefficient of the first term is called “The Leading Coefficient”.

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