What is the first step in solving $$x^2 + 6x - 13 = 3$$ ?

The first step is to make it equal to 0 by subtracting 3 from both sides, resulting in $$x^2 + 6x - 16 = 0$$ .

What are the roots of the equation $$n^2 + 7n + 15 = 5$$ after factoring?

The roots are $$n = -5$$ and $$n = -2$$ .

What is the factored form of $$x^2 - 11x + 19 = -5$$ ?

The factored form is $$(x - 3)(x - 8) = 0$$ , giving roots $$x = 3$$ and $$x = 8$$ .

How do you find the roots of $$7x(x - 6) = 0$$ using the Zero-Product Property?

Set each factor to zero: $$7x = 0$$ gives $$x = 0$$ , and $$x - 6 = 0$$ gives $$x = 6$$ .

What is the GCF (Greatest Common Factor) in the equation $$7r^2 - 14r = -7$$ ?

The GCF is 7, which can be factored out to simplify the equation.

What does it mean for a quadratic to have two real roots?

A quadratic has two real roots if its discriminant (b^2 - 4ac) is greater than zero.

What is the discriminant of a quadratic equation?

The discriminant is the expression $$b^2 - 4ac$$ that determines the nature of the roots of the quadratic equation.

What is the significance of the coefficients a, b, and c in a quadratic equation?

The coefficients a, b, and c determine the shape and position of the parabola represented by the quadratic equation.

How can you check if your factored form is correct?

You can check by expanding the factored form back to the original quadratic equation.

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

The sum of the roots is equal to $$-b/a$$ and the product of the roots is equal to $$c/a$$ .

Solving Quadratics by Factoring (a=1 or GCF)

Flashcard

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSF-IF.C.7A, HSA.APR.B.2

Standards-aligned

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

What is the Zero-Product Property?

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Apply the Zero-Product Property. 4. Solve for the variable.

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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

10 questions

Misplaced and Dangling Modifiers

Flashcard

•

8th Grade

12 questions

Les sports et les loisirs

Flashcard

•

7th - 9th Grade

10 questions

Disney descendants flashcard

Flashcard

•

10 questions

Twelfth Night

Flashcard

•

10th Grade

8 questions

English to Arabic Vocabulary

Flashcard

•

9th Grade

10 questions

Mathematics Glossary

Flashcard

•

Popular Resources on Wayground

10 questions

Forest Self-Management

Lesson

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

30 questions

Thanksgiving Trivia

Quiz

•

9th - 12th Grade

30 questions

Thanksgiving Trivia

Quiz

•

6th Grade

11 questions

Would You Rather - Thanksgiving

Lesson

•

KG - 12th Grade

48 questions

The Eagle Way

Quiz

•

6th Grade

10 questions

Identifying equations

Quiz

•

KG - University

10 questions

Thanksgiving

Lesson

•

5th - 7th Grade

Discover more resources for Mathematics

10 questions

Identifying equations

Quiz

•

KG - University

20 questions

Pythagorean Theorem and Their Converse

Quiz

•

8th - 9th Grade

20 questions

Is it a Function?

Quiz

•

8th - 9th Grade

18 questions

Scatterplot Associations

Quiz

•

7th - 9th Grade

26 questions

Intro to Exponential Functions

Quiz

•

9th Grade

8 questions

211 - Write Equation Given Two Points

Quiz

•

9th Grade

16 questions

Solving Systems Review

Quiz

•

9th Grade

18 questions

Triangle Similarity Review

Quiz

•

9th - 12th Grade