Multiply Polynomials Vocabulary Flashcards

Study Notes

Polynomial Terminology

A monomial is a single number, variable, or a product of a number with one or more variables.
A polynomial is either a monomial or a sum of multiple monomials.
Each term within a polynomial is a distinct monomial.

Properties of Polynomials

The degree of a polynomial refers to the highest degree of its terms.
A coefficient is the numerical factor multiplied by a variable in an algebraic expression.
The leading coefficient is the coefficient of the term that has the highest degree.

Types of Polynomials

A binomial consists of two terms.
A trinomial consists of three terms.

Algebraic Relationships

Like terms are terms that share the same variable raised to the same power, differing only in coefficients.

Multiplication Properties

The Distributive Property allows multiplication across addition, expressed as a(b + c) = ab + ac.
The FOIL method is a strategy for multiplying binomials, standing for First, Outside, Inside, Last.

Standard Forms and Constants

The standard form of a polynomial organizes terms from highest to lowest degree.
A constant is a term that does not include a variable.

Factors and Exponent Rules

A factor refers to components that multiply together to form an expression.
The Product of Powers Property states that when multiplying powers with the same base, the exponents are added together.

Description

This quiz provides a set of vocabulary flashcards focused on the key terms related to multiplying polynomials. Each card defines essential concepts such as monomials, polynomials, and coefficients. Perfect for students looking to enhance their understanding of polynomial multiplication.