What are the roots of the equation $$x^2 + 9x + 20 = 0$$ ?

The roots are $$x = -4$$ and $$x = -5$$ .

Solve the equation by factoring: $$x^2 + 7x + 12 = 0$$ .

The roots are $$x = -3$$ and $$x = -4$$ .

Solve the equation $$k^2 - 2k - 24 = 0$$ by factoring.

The roots are $$k = 6$$ and $$k = -4$$ .

What is the factored form of the quadratic equation $$x^2 + 15x + 44 = 0$$ ?

The factored form is $$(x + 11)(x + 4) = 0$$ .

How do you check if your factored roots are correct?

Substitute the roots back into the original equation to see if they satisfy the equation.

What is the zero-product property?

The zero-product property states that if $$ab = 0$$ , then either $$a = 0$$ or $$b = 0$$ .

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

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

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Solve the equation $$x^2 + 4x - 12 = 0$$ by factoring.

The roots are $$x = 2$$ and $$x = -6$$ .

What is the first step in solving a quadratic equation by factoring?

The first step is to set the equation equal to zero, if it is not already.

What does it mean if a quadratic equation has no real roots?

It means that the graph of the quadratic does not intersect the x-axis, which occurs when the discriminant is negative.

8.5 HW Solving Quadratics by Factoring Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

How do you find the roots of a quadratic equation by factoring?

Back

To find the roots, set the equation to zero, factor it into binomials, and then set each binomial equal to zero to solve for the variable.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

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

Exploring Interfaith Dialogue and Peace

Flashcard

•

9th Grade

15 questions

Similar Figures and Solving Proportions

Flashcard

•

7th Grade

10 questions

Disney descendants flashcard

Flashcard

•

KG

8 questions

English to Arabic Vocabulary

Flashcard

•

9th Grade

10 questions

Twelfth Night

Flashcard

•

10th Grade

10 questions

Misplaced and Dangling Modifiers

Flashcard

•

8th Grade

10 questions

Mathematics Glossary

Flashcard

•

KG

10 questions

Body Parts for Kindergarten

Flashcard

•

KG

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

18 questions

Exponential Growth and Decay

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

24 questions

Solving Linear Equations with Variables on Both Sides

Quiz

•

9th Grade

20 questions

Rational and Irrational Numbers, Perfect Squares, & Perfect Cube

Quiz

•

9th Grade