05 - Polynomial Long Division - Part 1 (Division of Polynomials Explained)
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- Опубликовано: 17 окт 2024
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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.
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Jason, MathAndScience.com
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I can only recall , monomial binomial , and polynomial theory a very long , long time ago.
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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..
You're not operating with your normal mind. The world should look for you and appreciate you
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.
Thanks Nass your comment maid me understand it better because putting it in a parentheses makes it look more easier as u said
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What a beautiful lesson
Thanks you made long division of polynomials look just like Brees.
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My head hurts, but I got it. Thanks!
Nice representation and clear God bless you sir
Timestamps:
1:10 - recall regular division.
6:30 - remainder-fraction.
8:00 - normal long division.
9:30 - 2 ways of checking.
13:00 - review
15:40 - Polynomial Long Division
17:00 - Important Rules
18:00 - The Problem
19:30 - Common Mistake...
22:10 - When do we stop?
23:40 - How do we write the answer? 24:40
26:00 - Explanation & Recap
27:00 - Checking; 28:00, 28:45, & 29:20
31:00 - Another problem
THE GOAT
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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.
Ok, it looks fun enough to me! Can't wait to try it!
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Hope you enjoy it!
@@MathAndScience Yes! Thank you for teaching this!
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
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Jason, MathAndScience.com
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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.
Hopefully, you understand now. It's a month later. If not, respond and I'll explain it.
Learn the distributive property.
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Thanks
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Good luck in your studies!
Jason, MathAndScience.com
Perfect appreciated
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Jason, MathAndScience.com
x2+3x-4/x+2=(x4+6x3-8x2-15x+16
Part 2?
thankyou so much!
x2+3x-4/x+2=(x4+x2-24x+16)
x2+3-4/2
Polynomial graph for shs
Great 👍
x2+3x-4/-x3+2x2+11x-22
x2+3x-4/x+2=x2+1-8+4
Bravo 👏👏
x2+3x-4/x+2
x2+3x-4/x+2=0+2x-2x-5x+0
6-2x-x2/2-x=(6-2x-x2)(6-2x-x2)
x2+3x-4=x3-2x2-11x+22
x2+3x-4/x+2=(x2+3x-4)(x2+3x-4)
x2+3x-4/x+2=x2-3
x2+3x-4=2x4+9x+16
6-2x-x2/2-x
Where is the part 2?
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
x2+3x-4/1=x2+3x-4
x2-1/2
/2x4+9x+16
Where from sir you?
6-2x-x2/1=6-2x-x2
x2+3x-4
x2+3x-4=(x2+3x-4)(x2+3x-4)
x2+3x-4=(x2-11)(x-2)
6-2x-x2
19/5
/36+4x2+x4
x2+3x-4=x2+3x-4
6-2x-x2=6-2x-x2
174 1/2
polynomial
2-x
x+2
2/349
3 4/5
1
/2-x
3+(4/5) ≠ 3(4/5)
👍👍👍
Skip to 15:23 to skip the long division review
Good sir
I really appreciate it!
Jason, MathAndScience.com
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this sucked. i was earning social security by the time he got to what i needed.
you talk too much and stress over stupid topics are u trying to put people to sleep
Poor reaction