Factoring!

Maths and statistics discussion, revision, exam and homework help.

Announcements Posted on
Please change your TSR password 23-05-2013
Enter our travel-writing competition for the chance to win a Nikon 1 J3 camera 20-05-2013
IMPORTANT: You must wait until midnight (morning exams)/4.30AM (afternoon exams) to discuss Edexcel exams and until 1pm/6pm the following day for STEP and IB exams. Please read before posting, including for rules for practical and oral exams. 28-04-2013
Search Thread
Advanced Search
Sign in to Reply
  1. kenny629's Avatar
    1 12-07-2012  13:12
    • Junior Member
    • Posts: 72
    Factoring!
    Hey guys, just need to clarify the correct procedure for this factorisation.

    4(3x^2-4) factors to; 12(x^2-4/3) factors to; 12((x+(2/sqrt3))*((x-(2/sqrt3))

    Hope someone can help as this has me stumped!!!

    Thanks a heap!
  2. dantheman1261's Avatar
    2 12-07-2012  13:16
    • Full Member
    • Posts: 105
    Re: Factoring!
    Looks good to me!
  3. kenny629's Avatar
    3 12-07-2012  13:38
    • Junior Member
    • Posts: 72
    Re: Factoring!
    Sorry i didnt explain myself properly!!
    This example was in the book, im unsure of how they achieved it...
  4. the bear's Avatar
    4 12-07-2012  13:43
    • TSR Demigod
    • Location: Linton Travel Tavern
    • Posts: 7,204
    Re: Factoring!
    it is using the idea of difference of two squares to split the original bracket into two smaller ones.
    Post rating:
    1
  5. raheem94's Avatar
    5 12-07-2012  13:44
    • TSR Demigod
    • Posts: 5,512
    Re: Factoring!
    (Original post by kenny629)
    Hey guys, just need to clarify the correct procedure for this factorisation.

    4(3x^2-4) factors to; 12(x^2-4/3) factors to; 12((x+(2/sqrt3))*((x-(2/sqrt3))

    Hope someone can help as this has me stumped!!!

    Thanks a heap!
    Spoiler:
    Show

    \displaystyle 4 ( 3x^2 - 4) = 12x^2 - 16 = 12 \left( x^2 - \frac{16}{12} \right) = 12 \left( x^2 - \frac{4}{3} \right) \\ = 12 \left( x^2 - \left( \frac2{\sqrt3} \right)^2 \right) = 12 \left( x - \frac2{\sqrt3} \right) \left( x + \frac2{\sqrt3} \right)
    Post rating:
    1
Sign in to Reply
Search Thread
Advanced Search
Share this discussion:  
Useful resources

Articles:

Study Help rules and posting guidelinesStudy Help Member of the Month nominationsGuide to MathematicsMathematics resourcesMathematics websitesMathematics revision notes in the TSR wikiCambridge Assessment admissions tests (including STEP)How to use LaTeXCareers in Mathematics

Useful Dates:

Quick Link:

Unanswered Maths Threads

Groups associated with this forum:

View associated groups
Article updates
Moderators

We have a brilliant team of more than 60 volunteers looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is moderated by:

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22

Registered Office: International House, Queens Road, Brighton, BN1 3XE

Shortcuts

Get Started

TSR Group

Using TSR

Info

Connect with TSR

Reputation gems:
The Reputation gems seen here indicate how well reputed the user is, red gem indicate negative reputation and green indicates a good rep.
Post rating score:
These scores show if a post has been positively or negatively rated by our members.