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
Best explanation ever, didn't miss a single step leaving no confusion.
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
THANK YOU SO MUCH OMG I CANT THANK YOU ENOUGH FOR THIS
BEST EXPLANATION IVE SEEN
Very useful and very well explained.
Thank you so much!! Super helpful :)
Thank you for this video this was helpful
Best explanation ever
Thank you sir I'm watching this in 3rd April 2024
Very helpful..... That is good
Amazing explanation😊
I was able to find answer of a question in revision for my SSLC exam with ur help....thnx....
@Euphoria.21
3 ай бұрын
Hello I'm replying you to remind you old days where are you now?
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 :)!
Gud way of teaching..
Thank you so much
Thank you
THANK YOU SO MUCH
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 ❤️
Broo fr ur good
LOVE U SOOOOOOOOOOOOOOOOOOO MUCHHHHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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?
Thanks bro
and if you have to find the root? how you find the root?
@Beetman15
7 жыл бұрын
just substitute 1 instead of x and if the answer becomes zero then its a root.
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
3 жыл бұрын
Thank you for clarifying
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
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
2 жыл бұрын
@@rootmath hi
If the leading term is has 1 ad constant
Legenddddddd
Bless you🤩💞💯👌
what if they have not given the root
@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
LMAOOOOOOOOOOOOOOO THIS SHIT BUSSIN ONG I LOVBE MATHE
👍👍👍
reviewing for diffeq rn
I needed to find 2 numbers that add up to -4 and multiply to -4 ...
What if they don't give us the root?
@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
Very helpful