What is the quadratic formula?

The quadratic formula is used to find the solutions of a quadratic equation of the form $$ax^2 + bx + c = 0$$ . It is given by $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ .

What is the difference between a polynomial and a rational function?

A polynomial is a function that consists of terms with non-negative integer exponents, while a rational function is a ratio of two polynomials. For example, $$f(x) = \frac{{p(x)}}{{q(x)}}$$ where both $$p(x)$$ and $$q(x)$$ are polynomials.

What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$D = b^2 - 4ac$$ , determines the nature of the roots of a quadratic equation. If $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; and if $$D

How do you determine the end behavior of a polynomial function?

The end behavior of a polynomial function is determined by its leading term. If the leading coefficient is positive and the degree is even, the ends rise; if negative, the ends fall. If the degree is odd, one end rises and the other falls.

What is the relationship between the zeros of a polynomial and its factors?

The zeros of a polynomial correspond to the values of $$x$$ that make the polynomial equal to zero. Each zero $$r$$ corresponds to a factor of the form $$(x - r)$$ .

What is a complex zero?

A complex zero is a solution to a polynomial equation that is not a real number. Complex zeros occur in conjugate pairs, meaning if $$a + bi$$ is a zero, then $$a - bi$$ is also a zero.

How do you find the vertical asymptotes of a rational function?

To find the vertical asymptotes of a rational function, set the denominator equal to zero and solve for $$x$$ . The values of $$x$$ that make the denominator zero are the vertical asymptotes.

What is the process for factoring a polynomial?

Factoring a polynomial involves expressing it as a product of its factors. This can be done by finding common factors, using the difference of squares, or applying the quadratic formula for quadratics.

Review for NC Math 3 EOC 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 for a zero to have multiplicity?

Back

3.

FLASHCARD QUESTION

Front

How do you find the lead coefficient of a polynomial?

Back

4.

FLASHCARD QUESTION

Front

What is function composition?

Back

5.

FLASHCARD QUESTION

Front

How do you solve an absolute value equation?

Back

6.

FLASHCARD QUESTION

Front

What is a vertical asymptote?

Back

7.

FLASHCARD QUESTION

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable. This can involve factoring, using the quadratic formula, or synthetic division.

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

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

10 questions

Mathematics Glossary

Flashcard

•

KG

10 questions

Disney descendants flashcard

Flashcard

•

KG

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