How do you factor the expression $$x^2 + 3x - 28$$ ?

The expression factors to $$(x + 7)(x - 4)$$ .

What is the simplified form of $$\frac{x^2 + 3x - 28}{x^2 - 16}$$ ?

The simplified form is $$\frac{x + 7}{x + 4}$$ .

What is the result of simplifying $$\frac{x^2 - 7x - 8}{x^2 - 14x + 48}$$ ?

The result is $$\frac{x + 1}{x - 6}$$ .

What does it mean to cancel out in rational functions?

Canceling out means removing common factors from the numerator and denominator to simplify the expression.

How do you factor the expression $$x^2 + 9x + 20$$ ?

The expression factors to $$(x + 4)(x + 5)$$ .

What is the simplified form of $$\frac{x^2 + 9x + 20}{x^2 + 12x + 35}$$ ?

The simplified form is $$\frac{x + 4}{x + 7}$$ .

What is a polynomial?

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

What is the significance of the denominator in a rational function?

The denominator cannot be zero, as this would make the function undefined.

What is the process of finding the least common denominator (LCD)?

The LCD is found by determining the least common multiple of the denominators of the rational expressions involved.

What is the difference between a proper and improper rational function?

A proper rational function has a degree of the numerator less than the degree of the denominator, while an improper rational function has a degree of the numerator greater than or equal to that of the denominator.

What is the role of the vertical asymptote in rational functions?

The vertical asymptote occurs at values of x that make the denominator zero, indicating where the function approaches infinity.

Simplifying Rational Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

2.

FLASHCARD QUESTION

Front

What does it mean to simplify a rational function?

Back

Simplifying a rational function involves factoring the numerator and denominator and canceling out any common factors.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the importance of identifying common factors in rational functions?

Back

Identifying common factors allows for simplification, making calculations easier and revealing the function's behavior.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the first step in simplifying a rational function?

Back

The first step is to factor both the numerator and the denominator.

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

12 questions

Trennbare Verben

Flashcard

•

KG

8 questions

MATHEMATICS 10 - Graph of Polynomial Functions PART 1

Flashcard

•

10th Grade

10 questions

year 6 unit 8 vocabulary

Flashcard

•

8th Grade

15 questions

Urban Heat Islands

Flashcard

•

9th Grade

15 questions

Waves

Flashcard

•

8th Grade

15 questions

Stamped Chapter 1: Understanding Racism

Flashcard

•

10th Grade

13 questions

Adjectives ending in -ED and -ING

Flashcard

•

KG - 7th Grade

10 questions

Geometry FD Module 3 Vocab

Flashcard

•

10th Grade

Popular Resources on Wayground

5 questions

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

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd 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

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

20 questions

Triangle Congruence Theorems

Quiz

•

9th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

15 questions

Graphing Systems of Equations

Quiz

•

8th - 9th Grade

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade