What is the leading coefficient of a polynomial?

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In $$S(t) = 0.0115t^4 - 0.410t^3 + 2.84t^2 + 3.3t + 368$$ , the leading coefficient is 0.0115.

How do you solve a polynomial equation?

To solve a polynomial equation, set the polynomial equal to zero and factor it if possible, or use the quadratic formula for quadratic equations. For example, to solve $$r^3 - 7r^2 - 8r = 0$$ , factor out $$r$$ .

What is the Fundamental Theorem of Algebra?

The Fundamental Theorem of Algebra states that every non-constant polynomial function has at least one complex root. A polynomial of degree $$n$$ has exactly $$n$$ roots, counting multiplicities.

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 long division and is used to find polynomial quotients and remainders.

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

The degree of a polynomial function indicates the maximum number of zeros (roots) it can have. For example, a polynomial of degree 3 can have up to 3 real zeros.

What is a rational root?

A rational root of a polynomial is a solution that can be expressed as a fraction $$\frac{p}{q}$$ , where $$p$$ is a factor of the constant term and $$q$$ is a factor of the leading coefficient.

How do you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts. Plot these points and draw a smooth curve through them, ensuring the parabola opens upwards or downwards based on the leading coefficient.

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

The discriminant, given by $$D = b^2 - 4ac$$ in the quadratic equation $$ax^2 + bx + c = 0$$ , determines the nature of the roots: if $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; if $$D

ALGEBRA II Mid-Term (Review/Flashcard/Exam) Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial function?

Back

2.

FLASHCARD QUESTION

Front

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

Back

3.

FLASHCARD QUESTION

Front

What are the zeros of a polynomial function?

Back

4.

FLASHCARD QUESTION

Front

What is the vertex form of a parabola?

Back

5.

FLASHCARD QUESTION

Front

How do you convert a quadratic function to vertex form?

Back

6.

FLASHCARD QUESTION

Front

What is the axis of symmetry of a parabola?

Back

7.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

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

15 questions

Clothing and Accessories Vocabulary

Flashcard

•

KG - University

9 questions

Classical and Medieval Art

Flashcard

•

KG

10 questions

Novice Lesson 2 Practice Words

Flashcard

•

KG

13 questions

I. világháború eseményei

Flashcard

•

11th Grade

15 questions

Relative Clauses

Flashcard

•

12th Grade

7 questions

International Yoga Day Quiz

Flashcard

•

KG - University

8 questions

Flashcard Set on Viruses

Flashcard

•

12th Grade - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

13 questions

SMS Cafeteria Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

SMS Restroom Expectations Quiz

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

10 questions

Pi Day Trivia!

Quiz

•

6th - 9th Grade

Discover more resources for Mathematics

15 questions

Pi Day Trivia

Quiz

•

9th - 12th Grade

25 questions

PI Day Trivia Contest

Quiz

•

9th - 12th Grade

20 questions

Pi Day

Quiz

•

6th - 12th Grade

20 questions

Solve Polynomials and Factoring Problems

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay

Quiz

•

10th - 11th Grade

37 questions

A.7C - Quadratic Transformations

Quiz

•

9th - 12th Grade

19 questions

DCA review - Exponent Rules

Quiz

•

9th - 12th Grade