We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : Quadratic Equations and Inequalities

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 Next →

Example Question #1 : Solving Quadratic Equations

Find the zeros.

f(x)=x(x-6)^2

Possible Answers:

x=0,6

x=0

x=6

x=1,-1

x=-6,6

Correct answer:

x=0,6

Explanation:

Set each expression equal to zero and you get 0 and 6.

Report an Error

Example Question #1 : Solving Quadratic Equations

Find the zeros.

f(x)=(x-2)(x+4)^3

Possible Answers:

x=-2,4

x=4

x=2,-4

x=2

x=0,2,-2

Correct answer:

x=2,-4

Explanation:

Set both expressions equal to . The first factor yields . The second factor gives you .

Report an Error

Example Question #1 : Solving Quadratic Equations

Find the zeros.

f(x)=(x+5)(x-8)^2

Possible Answers:

x=0

x=-8

x=-5,8

x=-5

x=5,8

Correct answer:

x=-5,8

Explanation:

Set both expressions to and you get and .

Report an Error

Example Question #61 : Intermediate Single Variable Algebra

Solve the following equation by factoring.

x^2+7x-8=0

Possible Answers:

$x=8\ or\ -1$

$x=-8\ or\ -1$

$x=8\ or\ 1$

$x=-8\ or\ 1$

Correct answer:

$x=-8\ or\ 1$

Explanation:

We can factor by determining the terms that will multiply to –8 and add to +7.

$8*-1=-8\ and\ 8+(-1)=7$

Our factors are +8 and –1.

0=x^2+7x-8=(x+8)(x-1)

Now we can set each factor equal to zero and solve for the root.

$x+8=0\ or\ x-1=0$

$x=-8\ or\ x=1$

Report an Error

Example Question #62 : Intermediate Single Variable Algebra

Solve the following equation by factoring.

2x^2-8x-10=0

Possible Answers:

$x=-5\ or\ -1$

$x=5\ or\ 1$

$x=-5\ or\ 1$

$x=5\ or\ -1$

Correct answer:

$x=5\ or\ -1$

Explanation:

We know that one term has a coefficient of 2 and that our factors must multiply to –10.

$2*-5=-10\ and\ 2+2(-5)=-8$

Our factors are +2 and –5.

0=2x^2-8x-10=(2x+2)(x-5)

Now we can set each factor equal to zero and solve for the root.

$2x+2=0\ or\ x-5=0$

$x=-1\ or\ 5$

Report an Error

Example Question #311 : Algebra Ii

Solve the following equation by factoring.

0=x^3+4x^2+4x

Possible Answers:

$x=0\ or\ -2$

$x= 0,2\ or\ -2$

$x=0,-4\ or\ 1$

$x=0\ or\ 2$

Correct answer:

$x=0\ or\ -2$

Explanation:

First, we can factor an term out of all of the values.

0=x^3+4x^2+4x=x(x^2+4x+4)

We can factor remaining polynomial by determining the terms that will multiply to +4 and add to +4.

$2*2=4\ and\ 2+2=4$

Our factors are +2 and +2.

0=x(x+2)(x+2)=x(x+2)^2

Now we can set each factor equal to zero and solve for the root.

$x=0\ or\ (x+2)^2=0$

$x=0\ or\ -2$

Report an Error

Example Question #71 : Intermediate Single Variable Algebra

Solve $x^{2}+6x+5=0$

Possible Answers:

$x=2\; or\; x=3$

$x=3\; or\; x=-1$

$x=-5\; or\; x=-1$

$x=-3\; or\; x=-2$

$x=-5\; or\; x=-2$

Correct answer:

$x=-5\; or\; x=-1$

Explanation:

Factor the problem and set each factor equal to zero.

$x^{2}+6x+5=0$ becomes (x+5)(x+1)=0 so $x=-5 \; or\; x=-1$

Report an Error

Example Question #12 : Solving Quadratic Equations

Solve $x^{2}-8x+12=0$ .

Possible Answers:

$x=6\; or\; x=-8$

$x=-2\; or\; x=2$

$x=6\; or\; x=-4$

$x=-2\; or\; x=2$

$x=6\; or\; x=2$

$x=6\; or\; x=-8$

$x=-4\; or\; x=-2$

Correct answer:

$x=6\; or\; x=2$

Explanation:

Factor the quadratic equation and set each factor equal to zero:

$x^{2}-8x+12=0$ becomes (x-6)(x-2)=0 so the correct answer is $x=6\; or \; x=2$ .

Report an Error

Example Question #72 : Intermediate Single Variable Algebra

What are the roots of (x+3)(x-4) ?

Possible Answers:

(3,4)(4,3)

(0,3)(0,4)

(-3,0)(4,0)

(3,0)(-4,0)

(0,-3)(0,-4)

Correct answer:

(-3,0)(4,0)

Explanation:

To find the roots, we need to find the values that would make x=0 . Since there are two parts to (x+3)(x-4) , we will have two roots: one where x+3=0 , and one where x-4=0 .

Solve each one individually:

x+3=0

x=-3

x-4=0

x=4

Therefore, our roots will be (-3,0)(4,0) .

Report an Error

Example Question #321 : Algebra Ii

What are the roots of (x+5)(x-1) ?

Possible Answers:

$(\frac{1}{5},0)$

(-5,0)(1,0)

(0,5)(0,-1)

(0,-5)(0,1)

(5,0)(-1,0)

Correct answer:

(-5,0)(1,0)

Explanation:

To find the roots, we need to find what would make x=0 . Since there are two parts to (x+5)(x-1) , we will have two roots: one where x+5=0 , and one where x-1=0 .

Solve each individually.

x+5=0

x=-5

x-1=0

x=1

Our two roots will be (-5,0)(1,0) .

Report an Error

← Previous 1 2 3 4 5 6 7 Next →

View Tutors

Paul J
Certified Tutor

The University of Toledo, Bachelor of Science, Multi-/Interdisciplinary Studies, General. Eastern Illinois University, Master...

View Tutors

Anirudh
Certified Tutor

University of Windsor, Master's/Graduate, Electrical and Computer.

View Tutors

Thomas
Certified Tutor

California State University-Dominguez Hills, Bachelor in Arts, Studio Arts. University of California-San Diego, Doctor of Phi...

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Phoenix, Biology Tutors in Denver, Chemistry Tutors in Boston, SSAT Tutors in Miami, Algebra Tutors in Denver, Biology Tutors in Miami, SAT Tutors in New York City, SAT Tutors in Dallas Fort Worth, SAT Tutors in San Francisco-Bay Area, French Tutors in Denver

Popular Courses & Classes

ISEE Courses & Classes in Chicago, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Boston, Spanish Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in San Diego, GRE Courses & Classes in Seattle, MCAT Courses & Classes in Seattle, ACT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Los Angeles, LSAT Courses & Classes in Miami

Popular Test Prep

LSAT Test Prep in Boston, MCAT Test Prep in Boston, ACT Test Prep in Boston, ISEE Test Prep in San Diego, SAT Test Prep in Washington DC, ACT Test Prep in Philadelphia, ISEE Test Prep in Chicago, SSAT Test Prep in San Francisco-Bay Area, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Denver

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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

High School Math : Quadratic Equations and Inequalities

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : Solving Quadratic Equations

Example Question #1 : Solving Quadratic Equations

Example Question #1 : Solving Quadratic Equations

Example Question #61 : Intermediate Single Variable Algebra

Example Question #62 : Intermediate Single Variable Algebra

Example Question #311 : Algebra Ii

Example Question #71 : Intermediate Single Variable Algebra

Example Question #12 : Solving Quadratic Equations

Example Question #72 : Intermediate Single Variable Algebra

Example Question #321 : Algebra Ii

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: