05 - Polynomial Long Division - Part 1 (Division of Polynomials Explained)
More Lessons: www.MathAndScience.com
Twitter: / jasongibsonmath
In this lesson, you will learn how to divide one polynomial by another. This process is called polynomial long division, and it follows a similar procedure to the long division of whole numbers and decimals.
First, we will review how to divide whole numbers, including the concept of a remainder. We will apply these ideas to dividing polynomials using a very similar algorithm. Once we get to the end and have the remainder of the division, we will learn how to write the complete answer as the whole part plus the fractional remainder.
Finally, we will use the answer to check our work using multiplication. This process will be revisited in a future lesson where we use synthetic division to perform the division of polynomials.
Пікірлер: 135
I’m starting to feel like we can conquer our Math fears! Thank you professor Jason. You are few and far between!!
@MathAndScience
4 жыл бұрын
You can conquer it! Good luck in your studies!
Hi Sir, I'm a school teacher of great 1-5 ,I need to learn maths and you are my best teacher, l' m learning day by day and now I've learnt many things by the help of your videos .thank you and plz keep sharing.
@thatomofolo452
Жыл бұрын
True true true 😊
@previoushamutete8454
9 ай бұрын
Good lecturer
this man is quite literally the only reason why I understand math
@anandmishra5055
2 жыл бұрын
Same here mam..I tutor kids from USA UK and other countries by following him. God bless him always the world needs him
For the first time I have to admit that a presentation could be as good as a good textbook. Thank you, Sir.
Ahh you saved my grades, your teaching is very clear and a lot better than my teacher at school😭 thank you so much❤️❤️
I have watched videos from as basic as this as far as LaPlace Formations. You have the gift of making the difficult understandable. God Bless you and sharing this wonderful gift.
Thank you Mr Jason you make my Brian fresh now
Amazing the way you explain! Thanks a lot Professor. You are such an awesome teacher.
You are by far the BEST! I will def be visiting your website here I thought I just didn't get math but with you it's almost a breeze!! Keep the videos coming!!!
Thank you very much. I watched so many of your videos in this year, and it helps me a lot everytime!
16:09 omg this started to making sense! Thank you Professor!!!!
Finally someone who can actually help! you made it make sense!
Very nicely explained such confusing term in a simple way. Thanks a lot sir.
Great skills of teaching Never seen before.
You're really a good teacher and I really understand what you teach
Best teacher ever, blessings
Jason thank you so much. You have changed my life.
@MathAndScience
4 жыл бұрын
You are very welcome! Jason, MathAndScience.com
@laxlyfters8695
4 жыл бұрын
@@MathAndScience I am 32 years old i am taking Data Science and Machine Learning courses. I am good with Python. However when it comes to the math. I always hit walls. Now with you that is changing. I will be supporting by for sure becoming a streaming member.
@MathAndScience
4 жыл бұрын
@@laxlyfters8695 Awesome, thank you so much. Data Science and Machine Learning are really the future! Almost everything now from google to NASA uses this technology in software and even hardware design. Good luck to you!
Thankyou Very much Professor Jason this video really helped me ❤
Teacher of the century great work
Watching this video in 2022! Amazing video! Love the explanation ❤
Hint to overcoming math fear. It's a language to learn not a mountain of confusion to hurdle. You are on a long journey not a short sprint.
Nice representation and clear God bless you sir
What a beautiful lesson
My head hurts, but I got it. Thanks!
Given that f(x)=ax^3-8x^2-9x+b is exactly divisible by 3x - 2 and leaves a remainder of 6 when divided by x, find the value of a and of b.please help
wow! you are so much better than my professor! thank you so much
You are genius teacher. I love you sir!
I like your explanation but I think putting the entire (x^2 + 2x) in parentheses might look more familiar to some of us and remind us to distribute the - easier.
@isaachinson4577
Жыл бұрын
Thanks Nass your comment maid me understand it better because putting it in a parentheses makes it look more easier as u said
I appreciate you, thank you!!
This guy is amazing!
it is really awesome and adorable video. it is my first visit and i am here due to valuable contents
@MathAndScience
4 жыл бұрын
So happy you liked it! Jason, MathAndScience.com
Ur the best. Thank you 👏
You're not operating with your normal mind. The world should look for you and appreciate you
Thanks you made long division of polynomials look just like Brees.
Ok, it looks fun enough to me! Can't wait to try it! I'm serious.
@MathAndScience
Жыл бұрын
Hope you enjoy it!
@marcui_louie
Жыл бұрын
@@MathAndScience Yes! Thank you for teaching this!
thankyou so much!
Jason, thanks for doing these videos.😊✍📖📚✍😊☕☕☕
@MathAndScience
Жыл бұрын
Welcome!
@matthewgaydos8642
Жыл бұрын
@@MathAndScience Jason, do You have a Electrical Engineering Degree?😊👊😊☕☕
Perfect appreciated
@MathAndScience
4 жыл бұрын
Welcome! Jason, MathAndScience.com
Thank you sir
You are awesome!!!!!!
Bravo 👏👏
Thank you Professor Jason. I can only recall , monomial binomial , and polynomial theory a very long , long time ago. It rings the bell the clarity of your kind instruction and I learned more reviewing the past... How much I liked learning Maths until to this day .. of my 73 years of age.. Again , thanks .. for your kindness , patience , and understanding to make us learn... God bless..Now division and checking of polynomial division is easier with your help...esp. the introduction of ( - ) sign and proceeding to arrive at the lowest remainder..
Great 👍
Thank you. You make me like math.!@!@!
Where from sir you?
THANK YOU... SIR...!!!
@MathAndScience
Жыл бұрын
So nice of you
Malaking tulong po sa aming mga estudyante ,salamat po.
@yourmissingc0ckring759
3 жыл бұрын
D ko parin naintindihan 😩😩😿😿👁️💧👄💧👁️
Thank you was in a bad accident and I'm missing a lot of little pieces I used to have before.
@MathAndScience
4 жыл бұрын
Good luck in your studies! Jason, MathAndScience.com
Thanks
I needed this instruction in 1977
Every part was great until you went to check it. I just don't understand. x(x + 2) + (x +2) + (x +2) -6/x + 2 How do you end up with so many x + 2's from checking it? Where did they come from? Helpppp! I'm soooo lost.
@4everThoughtful
3 жыл бұрын
Hopefully, you understand now. It's a month later. If not, respond and I'll explain it.
@plaasboer1568
3 жыл бұрын
Learn the distributive property.
Part 2?
Where is the part 2?
👍👍👍
Polynomial graph for shs
x2+3x-4/x+2=(x4+x2-24x+16)
x2+3-4/2
19/5
x2+3x-4/x+2=(x4+6x3-8x2-15x+16
174 1/2
3 4/5
x2+3x-4/x+2=x2+1-8+4
💪💪💪💯💫
x2+3x-4/x+2=x2+1-8-4
x2+3x-4/-x3+2x2+11x-22
x2+3x-4/x+2
2/349
x2+3x-4/x+2=x2+5-8
1
/36+4x2+x4
x2-1/2
6-2x-x2/2-x=(6-2x-x2)(6-2x-x2)
x2+3x-4/x+2=(x2+3x-4)(x2+3x-4)
6-2x-x2/2-x=36+4x2+x4
x2+3x-4/x+2=(x2+3x-4)/1
x2+3x-4/x+2=x2+6x-0+0
/2x4+9x+16
x2+3x-4=x3-2x2-11x+22
6-2x-x2/2-x
x2+3x-4/x+2=0+2x-2x-5x+0
THE ABSOLUTE BEST TEACHER 🏆 🏆 🏆 * YOU SHOULD RECEIVE A PRESIDENTIAL TEACHING AWARD FROM THE USA PRESIDENT ((maybe not this president2022😉)) Other teachers always skip steps - they figure that you already learned it - then skip it even when it directly applies to the problem at hand. * You, however, never skip and never assume; rather you ingrain the necessary math tools and that is why going through your math course DOESN'T LEAVE ANY LEARNING GAPS like in most other courses. / Just came here to comment as I always watch on a platform where I can not "Like" L O V E all your videos and thank GOD you went into teaching. PEACE
3+(4/5) ≠ 3(4/5)
Sir I have a test tomorrow if i get good marks tomorrow I will refer your channel to my friends.
@MathAndScience
2 жыл бұрын
Thank you and good luck!
@noelnoronha4311
2 жыл бұрын
@@MathAndScience Hello sir,it is me again. Because of you I scored 16/20 in my exam. I have referred your channel to all my friends, thank you sir for teaching me
@MathAndScience
2 жыл бұрын
@@noelnoronha4311 that’s awesome! Congrats to you and thank you so much!!
/2-x
x2+3x-4/1=x2+3x-4
x2+3x-4=2x4+9x+16
x2+3x-4=(x2-11)(x-2)
/x+2
6-2x-x2/1=6-2x-x2
x2+3x-4
x2+3x-4=(x2+3x-4)(x2+3x-4)
x+2
2-x
6-2x-x2
polynomial
x2+3x-4=x2+3x-4
6-2x-x2=6-2x-x2
Skip to 15:23 to skip the long division review
this sucked. i was earning social security by the time he got to what i needed.
Good sir
@MathAndScience
4 жыл бұрын
I really appreciate it! Jason, MathAndScience.com
@eliatalented7592
4 жыл бұрын
@@MathAndScience Ok 2gether