What is a zero of a polynomial function?

A zero of a polynomial function is a value of $$x$$ for which $$f(x) = 0$$ . It represents the x-intercepts of the graph of the function.

What is the factored form of a polynomial?

The factored form of a polynomial expresses it as a product of its linear factors. For example, $$f(x) = (x - r_1)(x - r_2)...(x - r_n)$$ , where $$r_1, r_2, ..., r_n$$ are the roots of the polynomial.

How do you find the roots of a quadratic equation?

To find the roots of a quadratic equation $$ax^2 + bx + c = 0$$ , use the quadratic formula: $$x = \frac{{-b \text{±} \text{√}(b^2 - 4ac)}}{{2a}}$$ .

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

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

What is the relationship between the degree of a polynomial and the number of roots?

A polynomial of degree $$n$$ can have at most $$n$$ real roots, counting multiplicities.

What is a turning point in a polynomial graph?

A turning point is a point on the graph where the function changes direction from increasing to decreasing or vice versa. The number of turning points is at most $$n - 1$$ for a polynomial of degree $$n$$ .

How do you perform polynomial long division?

Polynomial long division involves dividing the leading term of the dividend by the leading term of the divisor, multiplying the entire divisor by that result, subtracting, and repeating the process with the remainder.

What is the end behavior of polynomial functions?

The end behavior of a polynomial function is determined by its leading term. If the leading coefficient is positive, the graph rises to the right; if negative, it falls to the right. The degree determines the behavior as $$x \to \text{±} \text{∞}$$ .

Precalculus Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Define a polynomial function.

Back

2.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

How do you find the value of a function at a specific point?

Back

Access all questions and much more by creating a free account

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

I Wandered Lonely As A Cloud By William Wordsworth

Flashcard

•

12th Grade

8 questions

EL CONSUMISMO

Flashcard

•

12th Grade

12 questions

Legal Writing Memo Flashcard

Flashcard

•

KG - University

14 questions

CADEIA ALIMENTAR

Flashcard

•

KG

11 questions

Analizing Essay Titles

Flashcard

•

University

15 questions

História do Brasil e Portugal

Flashcard

•

12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

17 questions

Explore Experimental and Theoretical Probability

Quiz

•

7th - 12th Grade

15 questions

Parallelogram Properties

Quiz

•

10th - 12th Grade

18 questions

Solving Systems- Word Problems

Quiz

•

9th - 12th Grade

34 questions

7.4 Review Cubic and Cube Root Functions

Quiz

•

10th - 12th Grade

21 questions

Geometry Chapter 2 Review

Quiz

•

9th - 12th Grade

9 questions

Identifying Parts Of An Expression

Quiz

•

6th - 12th Grade