A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

welshfella

  • one year ago

Short tutorial on the 'ac' method of factoring trinomials.

  • This Question is Closed
  1. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 8

    We have the standard form f(x) = ax^2 + bx + c . This is called the ac method because we start by multiplying the coefficient a by c. An example will illustrate the method:- Factor 4x^2 + 4x - 3 ac = 4*-3 = -12 Now factor -12:- prime factors of -12 are -2*2*3 The middle term + 4x comes from adding 2 terms in x. We are aiming to get the middle term + 4x - so, from the factors, 2*3x - 2x looks a good bet So we write 4x^2 + 6x - 2x - 3 now we try to factor by grouping in this case its easier to see how to do this if we reverse the order of the 2 middle terms 4x^2 - 2x + 6x - 3 = 2x(2x - 1) + 3(2x - 1) 2x - 1 is common to both parts so we have (2x + 3)(2x - 1)

  2. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 8

    During my short teaching career I found quite a few pupils had problems with factoring these and this method is the one which most of them took to.

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    good job :)

  4. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Huh, nice work

  5. mathmate
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :)

  6. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is called the *headphone* method :P

  7. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thats what my teacher told us . |dw:1438711610806:dw| looks like a headphone ? lol

  8. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 8

    yes that's a good way to remember it !

  9. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 8

    |dw:1438711718282:dw|

  10. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah that^^ nvm :) nice work!

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.