What are like terms in polynomials?

Like terms are terms in a polynomial that have the same variable raised to the same power. For example, $$2x^2$$ and $$5x^2$$ are like terms, while $$2x^2$$ and $$3x$$ are not.

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial. For example, the degree of $$4x^3 + 2x^2 - x + 7$$ is 3.

What is the leading coefficient of a polynomial?

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. For example, in the polynomial $$5x^4 + 3x^2 - 2$$ , the leading coefficient is 5.

How do you factor a polynomial?

Factoring a polynomial involves expressing it as a product of its factors. For example, $$x^2 - 9$$ can be factored as $$(x - 3)(x + 3)$$ .

What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, $$3x$$ is a monomial, and $$2x^2 + 3x - 5$$ is a polynomial.

What is the zero product property?

The zero product property states that if the product of two or more factors is zero, then at least one of the factors must be zero. For example, if $$(x - 2)(x + 3) = 0$$ , then either $$x - 2 = 0$$ or $$x + 3 = 0$$ .

What is synthetic division?

Synthetic division is a simplified method of dividing a polynomial by a linear divisor of the form $$(x - c)$$ . It is faster than polynomial long division and is used primarily for polynomials of one variable.

What is the remainder theorem?

The remainder theorem states that when a polynomial $$f(x)$$ is divided by $$(x - c)$$ , the remainder is equal to $$f(c)$$ .

Operations with Polynomials CFA Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to add polynomials?

Back

Tags

CCSS.HSA.APR.A.1

3.

FLASHCARD QUESTION

Front

What is the process of subtracting polynomials?

Back

Tags

CCSS.HSA.APR.A.1

4.

FLASHCARD QUESTION

Front

How do you multiply a polynomial by a monomial?

Back

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

What is the result of multiplying two polynomials?

Back

The result of multiplying two polynomials is a new polynomial formed by multiplying each term of the first polynomial by each term of the second polynomial and then combining like terms.

Tags

CCSS.HSA.APR.A.1

6.

FLASHCARD QUESTION

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of lower degree, similar to long division with numbers. It involves dividing the leading term of the dividend by the leading term of the divisor, multiplying, and subtracting.

Tags

CCSS.HSA.APR.D.6

7.

FLASHCARD QUESTION

Front

What is a quotient in polynomial division?

Back

Tags

CCSS.HSA.APR.D.6

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Strategies to Avoid Communication Breakdown

Flashcard

•

11th - 12th Grade

10 questions

Marketing Mix - Place and Distribution

Flashcard

•

10th Grade - University

12 questions

DNA Replication and Protein Synthesis

Flashcard

•

9th - 12th Grade

15 questions

What is the Limit?

Flashcard

•

11th Grade

15 questions

Practice 3 FFA Basics

Flashcard

•

9th - 12th Grade

16 questions

MODALS IN THE PAST

Flashcard

•

9th - 12th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Songs Challenge

Interactive video

•

6th - 10th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

10 questions

Exploring the Grinch's Christmas Heist

Interactive video

•

6th - 10th Grade

20 questions

Christmas Lyrics

Quiz

•

12th Grade