What is the explicit formula for a geometric sequence?

The explicit formula for a geometric sequence is given by $$a_n = a_1 \times r^{(n-1)}$$ , where $$a_1$$ is the first term and $$r$$ is the common ratio.

How do you combine like terms in a polynomial?

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, $$3x^2 + 5x^2 = 8x^2$$ .

What is the distributive property?

The distributive property states that $$a(b + c) = ab + ac$$ . It allows you to multiply a single term by each term inside a parenthesis.

What is a sequence in mathematics?

A sequence is an ordered list of numbers that follows a specific pattern or rule. For example, the sequence $$2, 4, 6, 8, ...$$ is an arithmetic sequence with a common difference of 2.

What does it mean for a polynomial to have no solution?

A polynomial has no solution when the equation leads to a contradiction, such as $$0 = 5$$ , indicating that there are no values of the variable that satisfy the equation.

What is the significance of the leading coefficient in a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It affects the end behavior of the polynomial's graph.

How do you solve inequalities?

To solve inequalities, isolate the variable using similar steps as solving equations, but remember to reverse the inequality sign when multiplying or dividing by a negative number.

What is the result of adding two polynomials?

The result of adding two polynomials is a new polynomial formed by combining like terms from both polynomials. For example, $$(2x + 3) + (4x - 5) = 6x - 2$$ .

Polynomial Operations and Simplifications Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What are the degrees of polynomials?

Back

3.

FLASHCARD QUESTION

Front

What is the process of simplifying a polynomial?

Back

4.

FLASHCARD QUESTION

Front

What does it mean to factor a polynomial?

Back

5.

FLASHCARD QUESTION

Front

What is the zero-product property?

Back

6.

FLASHCARD QUESTION

Front

How do you solve a linear equation?

Back

7.

FLASHCARD QUESTION

Front

What is the difference between an equation and an identity?

Back

An equation is a mathematical statement that asserts the equality of two expressions, which may be true for specific values of the variable. An identity is an equation that is true for all values of the variable.

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

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

10 questions

Mathematics Glossary

Flashcard

•

KG

10 questions

Disney descendants flashcard

Flashcard

•

KG

11 questions

Unit 1 | Topic 2 | Key Terms - Flashcards

Flashcard

•

9th - 12th Grade

8 questions

MAT_8_EF_QN01-QN08

Flashcard

•

8th Grade - University

15 questions

Function Operations and Composite Functions

Flashcard

•

9th Grade - University

10 questions

2025 S3/4 CCKS Enzymes

Flashcard

•

8th Grade - University

15 questions

Unit 4 Test Review

Flashcard

•

10th Grade - University

7 questions

Tipos de Eventos Corporativos

Flashcard

•

9th Grade - University

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

6 questions

FOREST Self-Discipline

Lesson

•

1st - 5th Grade

7 questions

Veteran's Day

Interactive video

•

3rd Grade

20 questions

Weekly Prefix check #2

Quiz

•

4th - 7th Grade

Discover more resources for Mathematics

15 questions

Two Step Equations

Quiz

•

9th Grade

19 questions

Explore Triangle Congruence and Proofs

Quiz

•

9th - 12th Grade

10 questions

Types of Slope

Quiz

•

6th - 9th Grade

10 questions

Exploring the Basics of Ratios

Interactive video

•

6th - 10th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

23 questions

Similar Figures

Quiz

•

9th - 12th Grade

17 questions

Parallel lines cut by a transversal

Quiz

•

10th Grade

16 questions

Domain and Range of Functions

Quiz

•

9th Grade