Multiply Polynomials Vocabulary Flashcards

Questions and Answers

What is a monomial?

A number

A variable

A product of a number and one or more variables

All of the above (correct)

What defines a polynomial?

A single monomial

A sum of two or more monomials

A product of monomials

All of the above (correct)

What is each monomial in a polynomial called?

term

What is the degree of a polynomial?

the degree of the term in the polynomial that has the highest degree Signup and view all the answers

What is a coefficient?

A number multiplied by a variable in an algebraic expression Signup and view all the answers

What is the leading coefficient?

The coefficient of the term with the highest degree Signup and view all the answers

What is a binomial?

A polynomial with two terms Signup and view all the answers

What is a trinomial?

A polynomial with 3 terms Signup and view all the answers

What are like terms?

Terms in an algebraic expression that have the same variable raised to the same power Signup and view all the answers

What is the standard form of a polynomial?

Polynomial with terms in order from greatest to least degree Signup and view all the answers

What is the FOIL method?

Way of multiplying binomials: First, Outside, Inside, Last Signup and view all the answers

What is a constant?

Term without a variable Signup and view all the answers

What is a factor?

Things that multiply to get an expression Signup and view all the answers

What does the Product of Powers Property state?

To multiply powers with the same base, add the exponents Signup and view all the answers

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.