Factoring Polynomials using box method

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  • Опубліковано 30 тра 2012
  • 👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.
    To factor a quadratic trinomial where the coefficient of the term with a squared variable is not 1, we find two expressions which when multiplied together gives the product of the constant term (the term with no variable) and the term with the squared variable and when the two expressions are added gives the term whose variable has no power. These two expressions obtained are used to replace the term whose variable has no power. The result is then factored by grouping them and factoring out the GCD.
    There are other methods that can be used to achive this including the AC, Berry, Box, Grouping and mental technique. Each way will have it's benefits but it is also helpful to check your answer by multiplying your binomials to make sure they give the original trinomial
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    Organized Videos:
    ✅Factor Quadratic Expressions
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | Learn About
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | GCF
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | x^2+bx+c
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | x^2+bx+C
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | Difference of Two Squares
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | Perfect Square
    • Factor Quadratic Expre...
    ✅Factor Quadratic Expressions | ax^2+bx+c
    • Factor Quadratic Expre...
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    #quadratics #factoring #brianmclogan box method factoring trinomials how to factor a trinomial factoring polynomials using box method

КОМЕНТАРІ • 72

  • @jyang209
    @jyang209 4 роки тому +155

    Lol fell asleep and heard him say "did you see what I did John?" Yes I did.

  • @denissemitchell9891
    @denissemitchell9891 5 років тому +78

    Thank you! I havent factored in sooo long and now I am in college precal and factoring is required for almost every calculation. Great review, thank you again.

    • @brianmclogan
      @brianmclogan  5 років тому +13

      Happy to help Denisse :). Keep working hard

  • @rodawna71
    @rodawna71 3 роки тому +16

    I wish you were my teacher I literally go to school, listen and then just look up your video and re test how myself cause my teacher doesn’t explain it enough

  • @mohammadal-faris3537
    @mohammadal-faris3537 5 років тому +45

    Your helping 2018 kids
    its 19 now

    • @hydro5020
      @hydro5020 4 роки тому +5

      2020* with Coronavius

    • @juscallmeart4513
      @juscallmeart4513 3 роки тому

      @@hydro5020 2020** half a year later still with Coronavirus

    • @DavidGarcia-cg3bq
      @DavidGarcia-cg3bq 3 роки тому

      @@hydro5020 same

    • @DavidGarcia-cg3bq
      @DavidGarcia-cg3bq 3 роки тому

      What grade y’all in ??

    • @Yoh_Mama
      @Yoh_Mama 3 роки тому

      @@DavidGarcia-cg3bq bruh I am in 11th grade and I watched this like years go for my test now I am showing this to my brother brings back memories good ones

  • @planetxtraa
    @planetxtraa 6 місяців тому +1

    i wish teachers in my school taught this way. just getting papers shoved in my face and having to cheat for a passing grade.

  • @prest1geiscool
    @prest1geiscool 3 роки тому +11

    Thanks so much for the help. I struggle following along with my teacher and you helped me achieve what I needed to do. After all, online school is hard during covid-19.

    • @prest1geiscool
      @prest1geiscool 3 роки тому +2

      @Leeham Hannah no your okay 👍 good luck btw :)

  • @jeremyl5151
    @jeremyl5151 4 роки тому +3

    Keep doing these videos they help out qlot!

  • @grcevids
    @grcevids 3 роки тому +11

    You are honestly so helpful thank you

  • @shannen22
    @shannen22 2 роки тому +6

    I'm very late to this video but this is the most helpful factoring polynomials video I've come across after suddenly having to factor in a class where my brain has deeply buried all that factoring knowledge, thank you

    • @chocolateangel8743
      @chocolateangel8743 2 роки тому

      You need to un-bury your factoring knowledge -- because once you're introduced to it -- you'll use it all the time. It's considered a basic math skill.

  • @blaze7543
    @blaze7543 Рік тому +1

    Thanks so much for the help this definitely improved my confidence on solving decomposition polynomials :)

  • @groovyhannah8517
    @groovyhannah8517 19 днів тому

    Bless you Brian and the box method

  • @JunoAintHere
    @JunoAintHere Рік тому

    You are actually saving my math grade. Thanks for the help.

  • @jessdoesdance101
    @jessdoesdance101 2 роки тому +2

    Thank you sir, you’re a life saver

  • @yonnagamez237
    @yonnagamez237 4 роки тому +4

    Thx so much this helped me alot

  • @yooo6899
    @yooo6899 2 роки тому +1

    Thank you sm I finally got it by myself!!!

  • @8double0.noface17
    @8double0.noface17 5 років тому +2

    Thus helped me so much ty

  • @pritamdhinsa448
    @pritamdhinsa448 6 років тому +4

    5x9=45=15x3. Hence factors are 1/5(5x-15)(5x-3)=(x-3)(5x-3). Hanse x=3 and also 3/15=1/3.PSD.

  • @hamakaze1364
    @hamakaze1364 5 місяців тому

    Know bit late to the oarty vut havnt factored since hs i am now 24 and in pre cal... yea little bit a culture shock but small bit are slowly coming back. Thank you

  • @justinc102
    @justinc102 Рік тому

    this video saved me from failing math thanks so much❤

  • @dulee538
    @dulee538 Рік тому

    There is a simper way. a*c= 5*9 = 45, and b=a+c= -18 => a and c = -3, -15 => apply ax and use -3 and -5 => (ax -3)*(ax-15)=> (5x-3)*(5x-15) => simplify by removing common factors =>(5x-3)*5(x-3) => remove common factor 5 => (5x-3)*(x-3)

  • @riti7074
    @riti7074 2 роки тому

    Thank you.

  • @TanmayKamboj
    @TanmayKamboj 20 днів тому

    sir thank you so much 🙂

  • @carlbravo1356
    @carlbravo1356 Рік тому

    Oh my god randy Orton is teaching now teaching math😱😱😱😱😱😱

  • @shortyxo737
    @shortyxo737 5 років тому +1

    hi brian! i’m doing some college algebra and they’re showing me a problem with a 1 in the middle for example your problem 5x2 - x + 9 that always messes me up what can i do

  • @Neverthesame2.0
    @Neverthesame2.0 Рік тому +1

    This helps a lot especially since I’m taking a test 😭 thank you 🙏

  • @CJ_Productions603
    @CJ_Productions603 Рік тому +1

    Jenna got called out infront of 103k people

  • @amitavadasgupta6985
    @amitavadasgupta6985 2 роки тому

    Expn.5x^-15x-3x+9=(5x-3)(x-3)ans

  • @ToxicSharp-yw4zx
    @ToxicSharp-yw4zx Рік тому

    what grade were you teaching here

  • @jeremyl5151
    @jeremyl5151 4 роки тому

    Bro i fucking love you

  • @dino_bro6969
    @dino_bro6969 3 роки тому +1

    Here I am doing math...as if I need it in the future-...I wanted to be an artist not a mathematician :')

  • @tyler6906
    @tyler6906 Рік тому

    Brian is here for me when photomath isn't.

  • @_sn0wbl00d
    @_sn0wbl00d Рік тому

    how would you multiply a*c when a is a letter^2?

    • @brianmclogan
      @brianmclogan  Рік тому +1

      Say again?

    • @_sn0wbl00d
      @_sn0wbl00d Рік тому

      @@brianmclogan Oh, i was wondering how you would multiply a times c is a is squared

  • @jadenfreeman5097
    @jadenfreeman5097 10 років тому +3

    Was this a trinomial or quadratic

    • @brianmclogan
      @brianmclogan  10 років тому +6

      a quadratic with three terms is also know as a trinomial, quadratic classifies the degree of a polynomial where trinomial classifies how many terms, different ways to classify the same polynomial

  • @urmom8561
    @urmom8561 4 роки тому +9

    who has a test tomorow??

    • @sourpatch4209
      @sourpatch4209 2 роки тому +2

      I got it next hour😭

    • @lul3093
      @lul3093 Рік тому +1

      @@sourpatch4209 Did you pass?

  • @amitavadasgupta6985
    @amitavadasgupta6985 2 роки тому

    X=({18+/- under root324-180}\10=>x=3,3/5ans

  • @blackheartstring5261
    @blackheartstring5261 5 років тому +1

    Hala too fast

  • @Physicsnerd1
    @Physicsnerd1 3 роки тому +1

    Nice work! I have a gripe with the teaching system. Would you see someone with a bachelors, masters, or phd using this method (or any of the other ridiculous methods) to solve a quadratic? NO. If not, then why are we teaching it. Another mindless game to confuse the masses. Learn and use the quadratic formula which works for everything. Quit confusing students with all the methods of idiots. Again, this is a gripe of the teaching system. THIS HAS NOTHING TO DO WITH THE GREAT JOB BRIAN IS DOING.

  • @jeremywellman5343
    @jeremywellman5343 4 роки тому +7

    Look- its not that hard kids. You dont need these 40 steps.
    Look at the last number in the equation- 9
    You know that you need two numbers that multiply to make 9. I know- it's super difficult.
    Look at the number next to x2- 5; you know you need 2 numbers that multiply to 5.
    That one is very difficult.
    So at this point, you understand u are working with 1/5, and either 3/3 or 1/9
    Super hard to just throw those numbers in and multiply it out to find the answer. Its what we did 25 years ago when I went through HS Trig, before common core came along and made everyone dumber. Sorry kids.