Factoring a Cubic Polynomial (Long Division)

In this video we learn a more general method for factoring a cubic polynomial if we are given one of it's roots.
For the next video on factoring a cubic polynomial:
Synthetic Division:
• Factoring a Cubic Poly...

Пікірлер: 42

  • @0x5c
    @0x5c3 жыл бұрын

    Best explanation ever, didn't miss a single step leaving no confusion.

  • @rudranilroyprottoy4727
    @rudranilroyprottoy4727Ай бұрын

    My goodness. I always struggled with long division, but this video turned out to be the best one to me compared to other solutions I watched!!!!!!!. THANK YOU SO MUCHHHH for showing the process of long division. Now I am confident to do this division. My heartfelt gratitude to you for making out this video to help the students out there.... THANKK YOUU

  • @reneyshah3411
    @reneyshah34114 жыл бұрын

    THANK YOU SO MUCH OMG I CANT THANK YOU ENOUGH FOR THIS

  • @chuckplaysguitar6636
    @chuckplaysguitar66364 жыл бұрын

    BEST EXPLANATION IVE SEEN

  • @NeilOB9
    @NeilOB9 Жыл бұрын

    Very useful and very well explained.

  • @natlaure5465
    @natlaure54654 жыл бұрын

    Thank you so much!! Super helpful :)

  • @shijivenus6897
    @shijivenus68974 жыл бұрын

    Thank you for this video this was helpful

  • @Bien29
    @Bien29 Жыл бұрын

    Best explanation ever

  • @Euphoria.21
    @Euphoria.213 ай бұрын

    Thank you sir I'm watching this in 3rd April 2024

  • @abdulwadood4111
    @abdulwadood41117 жыл бұрын

    Very helpful..... That is good

  • @dakshachuchanRorMaratha62
    @dakshachuchanRorMaratha62 Жыл бұрын

    Amazing explanation😊

  • @anniec.j5096
    @anniec.j50966 жыл бұрын

    I was able to find answer of a question in revision for my SSLC exam with ur help....thnx....

  • @Euphoria.21

    @Euphoria.21

    3 ай бұрын

    Hello I'm replying you to remind you old days where are you now?

  • @mathsmcdonald4074
    @mathsmcdonald40744 жыл бұрын

    Thanks so much for your video! Is a common maths error here the fact that when you expand x^2 with the factor (x-1) that many write x^3 - 2x and then when subtracting it forget to balance out the positive and negative signs (i.e. many people would write x^3 - 3x^2 - x^3 - x^2 instead of x^3 - 3x^2 - x^3 + x^2 - in term allowing for a subtraction result of -2x^2)? Hope this question makes sense and thanks so much :)!

  • @mohdowaisclass5throllno233
    @mohdowaisclass5throllno2333 жыл бұрын

    Gud way of teaching..

  • @shivi8774
    @shivi87744 жыл бұрын

    Thank you so much

  • @taran1985
    @taran19854 жыл бұрын

    Thank you

  • @redsleevedoodles
    @redsleevedoodles Жыл бұрын

    THANK YOU SO MUCH

  • @alokchaudhary9202
    @alokchaudhary92023 жыл бұрын

    The only problem was with me that how to reduce the product of divisor and quotient on each step which solved now... thanks a lot ❤️

  • @adityagamer7122
    @adityagamer712211 ай бұрын

    Broo fr ur good

  • @rayhanrahman8077
    @rayhanrahman80773 жыл бұрын

    LOVE U SOOOOOOOOOOOOOOOOOOO MUCHHHHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  • @XlightNtrEnx
    @XlightNtrEnx7 жыл бұрын

    so imagine if it was a 2x^3-3x^2-13x+15 instead of x^3-3x^2-13x+15, we would have had to use a 2x-1 instead of x-1?

  • @dvhedits
    @dvhedits5 ай бұрын

    Thanks bro

  • @stevenaguilar4322
    @stevenaguilar43228 жыл бұрын

    and if you have to find the root? how you find the root?

  • @Beetman15

    @Beetman15

    7 жыл бұрын

    just substitute 1 instead of x and if the answer becomes zero then its a root.

  • @GAMINGMILITIA1
    @GAMINGMILITIA13 жыл бұрын

    Friends before doing long division arrange the degree of the polynomial Eg:x^2+x^3+x change it to x^3+ d^2+x 😜 But good explanation ☺️

  • @chocohouse4147

    @chocohouse4147

    3 жыл бұрын

    Thank you for clarifying

  • @Paraneoz
    @Paraneoz10 жыл бұрын

    I've been working on -4x^3+4x^2+11x-6 for hours now, and even after watching this I cant do it, I wonder if I have done a step here wrong or what.

  • @rootmath

    @rootmath

    10 жыл бұрын

    Paraneoz to solve this you really need to use the rational roots theorem. It will tell you all of the possible roots and then you check them 1 by 1. It's tedious and boring actually :(. I don't have a video on the rational roots theorem yet but you should be able to find something good online with a little bit of searching. Goodluck and feel free to message me back.

  • @Aarish7000

    @Aarish7000

    2 жыл бұрын

    @@rootmath hi

  • @crazyjester993
    @crazyjester9939 ай бұрын

    If the leading term is has 1 ad constant

  • @itsjoesee
    @itsjoesee4 жыл бұрын

    Legenddddddd

  • @Sonu-gg9qn
    @Sonu-gg9qn3 жыл бұрын

    Bless you🤩💞💯👌

  • @gautamgautamsuresh1218
    @gautamgautamsuresh12187 жыл бұрын

    what if they have not given the root

  • @hungryangmo9964

    @hungryangmo9964

    5 жыл бұрын

    take the constant and find the factors of it, do trial and error and substitute the factors into the expression and see which one equals to zero, for example if x=2 makes the expression =0, den x-2 would be a factor of that expression

  • @samroberts1099
    @samroberts10992 жыл бұрын

    LMAOOOOOOOOOOOOOOO THIS SHIT BUSSIN ONG I LOVBE MATHE

  • @edmetpassion8156
    @edmetpassion81564 жыл бұрын

    👍👍👍

  • @morganshoop3409
    @morganshoop34092 жыл бұрын

    reviewing for diffeq rn

  • @lovre1845
    @lovre18454 жыл бұрын

    I needed to find 2 numbers that add up to -4 and multiply to -4 ...

  • @starrylqve1823
    @starrylqve18235 жыл бұрын

    What if they don't give us the root?

  • @costa2018

    @costa2018

    4 жыл бұрын

    you find the first root, in x^3+4x^2+x-6 for example, 6 is divisible by 1,2,3,6 so you substitute x=(any of those 4 numbers) and if the equations lines up and equals to 0, then that is one of the roots, and you can use long division for the rest

  • @sudhirsinha6641
    @sudhirsinha66418 жыл бұрын

    Very helpful