We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Factoring Polynomials

Study concepts, example questions & explanations for Algebra 1

Create An Account 创建测试& Flashcards

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 10 11 Next →

Example Question #12 :How To Factor A Variable

Factor the following polynomial: x^2-2x-35 .

Possible Answers:

(x-35)(x-1)

(x+5)(x+7)

(x-1)(x+35)

(x+5)(x-7)

(x-5)(x-7)

Correct answer:

(x+5)(x-7)

Explanation:

Because the x^2 term doesn’t have a coefficient, you want to begin by looking at theterm ( ax^2+bx+c ) of the polynomial:. Find the factors ofthat when added together equal the second coefficient (theterm) of the polynomial.

There are only four factors of: 1, 5, 7, 35 , and only two of those factors, 5, 7 , can be manipulated to equalwhen added together and manipulated to equalwhen multiplied together: 5, -7 (i.e., 5-7=-2 ).

Report an Error

Example Question #412 :Polynomials

Factor the following polynomial: x^2+13x+30 .

Possible Answers:

(x-10)(x+3)

(x+10)(x+3)

(x-5)(x-6)

(x+5)(x+6)

(x-10)(x-3)

Correct answer:

(x+10)(x+3)

Explanation:

Because the x^2 term doesn’t have a coefficient, you want to begin by looking at theterm ( ax^2+bx+c ) of the polynomial:.

Find the factors ofthat when added together equal the second coefficient (theterm) of the polynomial:.

There are seven factors of: 1, 2, 3, 5, 6, 10, 15 , and only two of those factors, 3, 10 , can be manipulated to equalwhen added together and manipulated to equalwhen multiplied together: 3, 10

$3+10=13, 3\times10=30$

Report an Error

Example Question #4652 :Algebra 1

Solve forwhen $x\neq-5$ : $\frac{x^2+2x-15}{x+5}=10$

Possible Answers:

x=7

x=5

x=15

x=13

x=-5

Correct answer:

x=13

Explanation:

First, factor the numerator: (x+5)(x-3) .

Now your expression looks like

$\frac{(x+5)(x-3)}{x+5}$

Second, cancel the "like" terms - (x+5) - which leaves us with x-3=10 .

Third, solve for, which leaves you with x=13 .

Report an Error

Example Question #11 :How To Factor A Variable

Factor the following polynomial: 2x^2-5x-3 .

Possible Answers:

(2x+3)(x+1)

(2x+1)(x-3)

(2x+1)(x+3)

(2x+3)(x-1)

(2x-1)(x+3)

Correct answer:

(2x+1)(x-3)

Explanation:

Because the x^2 项有一个系数,你先多plying theand theterms ( ax^2+bx+c ) together: $2\times-3=-6$ .

Find the factors ofthat when added together equal the second coefficient (theterm) of the polynomial:.

There are four factors of: 1, 2, 3, 6 , and only two of those factors, 1, 6 , can be manipulated to equalwhen added together and manipulated to equalwhen multiplied together: 1, -6

$1+-6=-5, 1\times-6=-6$

Report an Error

Example Question #4654 :Algebra 1

Factor: x^6+2x^3+2x

Possible Answers:

x(6x^5+2x^2+2)

x^3(x^3+4)

$6x(x^5+2x+\frac{1}{3})$

$\frac{1}{x^6}(x^{-6}+2x^{-2}+2x^{-5})$

x(x^5+2x^2+2)

Correct answer:

x(x^5+2x^2+2)

Explanation:

For each term in this expression, we will notice that each shares a variable of. This can be pulled out as a common factor.

x^6+2x^3+2x = x(x^5+2x^2+2)

There are no more common factors, and this is the reduced form.

The answer is: x(x^5+2x^2+2)

Report an Error

Example Question #11 :How To Factor A Variable

Factor: x^6+2x^3-3x

Possible Answers:

$\frac{1}{x^6}(x^{-6}+2x^{-2}-3x^{-5})$

$6x(x^5+2x-\frac{1}{18})$

x^3(x^3-8)

x(6x^5+2x^2-2)

x(x^5+2x^2-3)

Correct answer:

x(x^5+2x^2-3)

Explanation:

For each term in this expression, we will notice that each shares a variable of. This can be pulled out as a common factor.

x^6+2x^3-3x = x(x^5+2x^2-3)

There are no more common factors, and this is the reduced form.

The answer is: x(x^5+2x^2-3)

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 11 Next →

View Algebra Tutors

William
Certified Tutor

Don Bosco Salesian College, Bachelor of Science, Natural Sciences. Universidad Rafael Landívar, Bachelor in Arts, Business Ad...

View Algebra Tutors

Thomas
Certified Tutor

Boston University, Bachelor of Science, Business Administration and Management.

View Algebra Tutors

Alysse
Certified Tutor

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Seattle,Biology Tutors in Atlanta,Reading Tutors in San Diego,Physics Tutors in Boston,导师坐在费城,MCAT Tutors in Washington DC,LSAT Tutors in Los Angeles,GMAT Tutors in Houston,French Tutors in Chicago,French Tutors in Miami

Popular Courses & Classes

Spanish Courses & Classes in Boston,LSAT Courses & Classes in New York City,Spanish Courses & Classes in Philadelphia,GMAT Courses & Classes in Los Angeles,SSAT Courses & Classes in Denver,ACT Courses & Classes in New York City,Spanish Courses & Classes in Denver,MCAT Courses & Classes in San Diego,MCAT Courses & Classes in Houston,SAT Courses & Classes in Phoenix

Popular Test Prep

SAT Test Prep in Washington DC,SAT Test Prep in Atlanta,LSAT Test Prep in Denver,ISEE Test Prep in New York City,ACT Test Prep in Los Angeles,MCAT Test Prep in Phoenix,ISEE Test Prep in Phoenix,SAT Test Prep in Houston,GMAT Test Prep in New York City,ACT Test Prep in Washington DC

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.

我承认可能有不利的法律上的缺点equences 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

Algebra 1 : Factoring Polynomials

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #12 :How To Factor A Variable

Example Question #412 :Polynomials

Example Question #4652 :Algebra 1

Example Question #11 :How To Factor A Variable

Example Question #4654 :Algebra 1

Example Question #11 :How To Factor A Variable

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Find the Best Tutors

Email address:
Your name:
Feedback: