Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review Common Core: High School - Algebra but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different Common Core: High School - Algebra flashcards! Our Common Core: High School - Algebra flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous Common Core: High School - Algebra flashcards.

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Find the zeros of the following function.

x^2+5x+6

x=2,-3

x=-2,-3

x=-2

x=2,3

x=-2,3

Report an Error Copyright Notice

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Find the zeros of the following function.

x^2+5x+6

Your answer:

x=2,-3

Your answer:

x=-2

Your answer:

x=2,3

Your answer:

x=-2,3

Correct answer:

x=-2,-3

Explanation:

To find the zeros of the function use factoring.

x^2+5x+6

Set up the expression in factored form, leaving blanks for the numbers that are not yet known.

$(x+\underline{\hspace{.5cm}})(x+\underline{\hspace{.5cm}})$

At this point, you need to find two numbers - one for each blank. By looking at the original expression, a few clues can be gathered that will help find the two numbers. The product of these two numbers will be equal to the last term of the original expression (6, or c in the standard quadratic formula), and their sum will be equal to the coefficient of the second term of the original expression (5, or b in the standard quadratic formula). Because their product is positive (6) and the sum is positive, that must mean that they both have positive signs.

Now, at this point, test a few different possibilities using the clues gathered from the original expression. In the end, it's found that the only numbers that work are 2 and 3, as the product of 2 and 3 is 6, and sum of 2 and 3 is 5. So, this results in the expression's factored form looking like...

(x+2)(x+3)

From here, set each binomial equal to zero and solve for .

$\\x+2=0 \\x+2-2=-2 \\x=-2$

and

$\\x+3=0 \\x+3-3=-3 \\x=-3$

To verify the zeros, graph the original function and identify where the graph touches or crosses the x-axis.

Therefore the zeros of the function are,

x=-2,-3

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Find all possible zeros for the following function.

x^2-9

x=3

x=-3

x=0

x=-3, 3

x=1

Report an Error Copyright Notice

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Find all possible zeros for the following function.

x^2-9

Your answer:

x=3

Your answer:

x=-3

Your answer:

x=0

Your answer:

x=1

Correct answer:

x=-3, 3

Explanation:

To find the zeros of the function, use factoring.

x^2-9

Set up the expression in factored form, leaving blanks for the numbers that are not yet known.

$(x+\underline{\hspace{.5cm}})(x+\underline{\hspace{.5cm}})$

At this point, you need to find two numbers - one for each blank. By looking at the original expression, a few clues can be gathered that will help find the two numbers. The product of these two numbers will be equal to the last term of the original expression (-9, or c in the standard quadratic formula), and their sum will be equal to the coefficient of the second term of the original expression (0, or b in the standard quadratic formula). Because their product is negative (-9) and the sum is zero, that must mean that they have different signs but the same absolute value.

Now, at this point, test a few different possibilities using the clues gathered from the original expression. In the end, it's found that the only numbers that work are 3 and -3, as the product of 3 and -3 is -9, and sum of 3 and -3 is 0. So, this results in the expression's factored form looking like...

(x-3)(x+3)

This is known as a difference of squares.

From here, set each binomial equal to zero and solve for .

$\\x-3=0\\x-3+3=+3\\x=3$

and

$\\x+3=0\\x+3-3=-3\\x=-3$

To verify the zeros, graph the original function and identify where the graph touches or crosses the x-axis.

Q10

Therefore the zeros of the function are,

x=-3,3

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

View Tutors

Margaret
Certified Tutor

Smith College, Bachelor of Science, Biological and Physical Sciences.

View Tutors

Samir
Certified Tutor

University of South Florida-Main Campus, Master of Fine Arts, Studio Arts.

View Tutors

Grace
Certified Tutor

University of Massachusetts-Dartmouth, Bachelor of Education, Portuguese. University of Massachusetts-Dartmouth, Masters in B...

Popular Subjects

French Tutors in San Francisco-Bay Area, Statistics Tutors in Los Angeles, ACT Tutors in Houston, SSAT Tutors in Houston, ACT Tutors in Miami, Chemistry Tutors in Dallas Fort Worth, Biology Tutors in Denver, Spanish Tutors in San Diego, SSAT Tutors in Dallas Fort Worth, SAT Tutors in Washington DC

Popular Courses & Classes

ACT Courses & Classes in Houston, ISEE Courses & Classes in Boston, GMAT Courses & Classes in Atlanta, LSAT Courses & Classes in Denver, GMAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Boston, ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Washington DC, LSAT Courses & Classes in Chicago, ACT Courses & Classes in Philadelphia

Popular Test Prep

LSAT Test Prep in Atlanta, LSAT Test Prep in Phoenix, ACT Test Prep in Houston, ACT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Boston, ISEE Test Prep in Chicago, GRE Test Prep in New York City, SSAT Test Prep in San Diego, GRE Test Prep in Denver, LSAT Test Prep in Miami

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

All Common Core: High School - Algebra Resources

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Flashcards: Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

Report an issue with this question