How do you solve $$\frac{1}{4}\text{sqrt}(32x) = 1$$ ?

To solve, first multiply both sides by 4: $$\text{sqrt}(32x) = 4$$ . Then square both sides: $$32x = 16$$ , leading to $$x = \frac{1}{2}$$ .

What is the sum of $$ (2x^2 + 5x - 7) + (3 - 4x^2 + 6x) $$ ?

Combine like terms: $$(2x^2 - 4x^2) + (5x + 6x) + (-7 + 3) = -2x^2 + 11x - 4$$ .

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the expression. For example, in $$2x^3 - 4x^2 + 3$$ , the degree is 3.

What is the zero-product property?

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero. For example, if $$(x - 2)(x + 3) = 0$$ , then $$x - 2 = 0$$ or $$x + 3 = 0$$ .

How do you add polynomials?

To add polynomials, combine like terms. For example, $$(3x^2 + 2x) + (4x^2 + 5) = 7x^2 + 2x + 5$$ .

A binomial is a polynomial with exactly two terms, such as $$x + 5$$ or $$3x^2 - 2x$$ .

What is the formula for the difference of squares?

The difference of squares formula states that $$a^2 - b^2 = (a - b)(a + b)$$ .

What is the importance 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 process of rationalizing the denominator?

Rationalizing the denominator involves eliminating any radicals from the denominator of a fraction. For example, to rationalize $$\frac{1}{\text{sqrt}(2)}$$ , multiply the numerator and denominator by $$\text{sqrt}(2)$$ to get $$\frac{\text{sqrt}(2)}{2}$$ .

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms. For example, $$2x^3 - 4x^2 + 3x - 5$$ is in standard form.

Exam Review - Polynomials and Radical Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What is a radical equation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the process of factoring a polynomial?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the difference between a monomial and a polynomial?

Back

7.

FLASHCARD QUESTION

Front

What does it mean to simplify a radical expression?

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

Different kinds of friends

Flashcard

•

KG

10 questions

Printing Press

Flashcard

•

9th - 12th Grade

12 questions

Trennbare Verben

Flashcard

•

KG

15 questions

PART 2-PA First Semester Review-December 2024

Flashcard

•

8th Grade - University

10 questions

Kebarangkalian

Flashcard

•

10th Grade

15 questions

Unit II Test Review Bio A (Ch. 3-5)

Flashcard

•

9th - 11th Grade

15 questions

Wishes and regrets

Flashcard

•

8th - 12th Grade

14 questions

Sucessões

Flashcard

•

11th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

20 questions

Rational and Irrational Numbers, Perfect Squares, & Perfect Cube

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

10 questions

Factoring Quadratic Expressions

Quiz

•

9th Grade

16 questions

Identifying Angles

Quiz

•

7th - 12th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade