Solving Polynomial Equations By Factoring and Using Synthetic Division - Algebra 2 & Precalculus
ฝัง
- เผยแพร่เมื่อ 13 ต.ค. 2024
- This algebra 2 and precalculus video tutorial focuses on solving polynomial equations by factoring and by using synthetic division. This video contains plenty of examples and practice problems.
How To Factor Trinomials: • Factoring Trinomials T...
The Greatest Common Factor:
• How To Factor The Grea...
Difference of Squares & Sum of Cubes:
• Factoring Binomials Wi...
Factoring Perfect Square Trinomials:
• Factoring Perfect Squa...
How To Factor By Grouping:
• Factor By Grouping Pol...
Cubic Polynomials:
• Factoring Cubic Polyno...
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Solving Quadratic Equations By Factoring:
• How To Solve Quadratic...
Quadratic Equations Completing The Square:
• How To Solve Quadratic...
How To Factor Difficult Quadratic Equations:
• How To Factor Difficul...
Hard Factoring Examples:
• Factoring Trinomials &...
Factor Completely - Multiple Variables:
• How To Factor Complete...
Factoring Higher Degree Polynomials:
• Factoring Higher Degre...
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Factoring Trinomials With Large Numbers:
• Factoring Trinomials W...
Factor Trinomials With Negative Exponents:
• How To Factor Trinomia...
Factoring - Rational Exponents:
• Factoring Algebraic Ex...
Factor Theorem and Synthetic Division:
• Factor Theorem and Syn...
Finding All The Zeros of a Polynomial:
• Finding All Zeros of a...
Real and Imaginary Solutions:
• How To Find The Real &...
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Factoring Formula Sheet:
bit.ly/4dFNZJ8
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Factoring Formula Sheet: bit.ly/4dFNZJ8
Final Exams and Video Playlists: www.video-tutor.net/
I love the way you teach, straight to the point; Easy to comprehend. Thank you so much!
Awesome video. I learned more watching a 40 minute video than i did listening to my algebra teacher for two weeks
Seth Jensen So trueeee
I think that is a testament to how bad the american education system is, aaannnd the fact that maybe you're just trying when you look at a video.
Honestly😩
😂
God damm
Your videos are so clear and helpful. Really appreciate the time you take to put these together.
Thanks so much for the amount of time you give to the community.... I really love it!
Gg
Gg
Alternatively, on 12:17 (10th question), you can actually take the GCF of the whole equation, which is 3. This takes the equation down to;
3(18x^2+9x-20)=0;
multiplying 18 and -20 gives -360, and listing factors of 360 you can easily find two that add up to 9, which is 24 and -15
3(18x^2+24x-15x-20)=0;
3(6x(3x+4)-5(3x+4))=0;
3(6x-5)(3x+4)=0;
6x-5=0; 3x+4=0;
6x=5; 3x=-4;
x=5/6 x=-4/3
Thank you. Just learned all this in 2hourd compared to 2 months of school. Much love brother.
IM WATCHING THIS BEFORE DOING A TEST TO GET INTO HIGHSCHOLL YOUR GOING TO BE THE REASON I GET IN THERE THANK YOU SO MUCH
You need to learn to spell high school.
@@davidfrancis1840 lmfao
you mean college
Thank you from the Caribbean for making these videos💜👍 Very helpful for CAPE and CSEC
@TheOrganicChemistryTutor. You have taught me for more than two semesters and still going. Best channel to learn all the math you want simple clear and concise. I cant say thank you enough. I got As in my classes bc of you. do you teach linear algebra as well as discrete math??? asking for a friend..lol
Writing my sat in less than 2 weeks and am freaking out trying to learn everything and these videos really do help alot
I appreciate your videos. I’m a parent who watches the videos to help my child with homework.
Thanks I have a huge algebra 1 test about factoring tomorrow and this helped a lot also the T method helps when factoring trinomials
I am a big fan of your style of solving mathematics to you are a Genuine
Can you PLEASE do these tutorials showcasing the worse-case possible scenarios? Like at 30:42, what if it wasn't an easy number like 2 but instead something way larger? How the heck would you solve for that???
Voice doesn't put me to sleep like Bob Ross and I like how you show different examples so we can be ready for almost any situation!
how can I sit in my physical math class for 48 minutes multiple times a week and still not understand this lmao this video literally saved my life
Thank you for your continuous efforts. Your videos help me a lot!
MR. Organic Chemistry Tutor, thank you for another excellent video on Solving Polynomials by Factoring and using Synthetic Division.
Thank you. Now I can retake my algebra test without having a literal panic attack.
How did it go
So helpful! Clear and thorough examples!
I think the answer to the first question should be 5/2
Rem we factor out 2 (x2-25)
Im watching these because our math teacher is a madman and its not a good idea to go to his class without advance knowledge.
Even though this vid came out like a year ago you honestly saved me in this subject, amazing job going over this
dude I imagine your efforts because I, right now is making a script to teach linear equations,quadratic equations, cubic, quartic, quintic I am currently at quartic with 1500+ words. thank you for giving me idea how to teach this stuff damn i got a lot more to go and write
Really appreciate the videos! Keep up the good work!
So helpful, thank you so much
-philippines❤
I really appreciate it. God bless you
Thank you very much, I have been searching through out the day ( how to factorize complex polynomials with highest power of 5 by using synthetic dvsn)
Thank you for uploading this video I'm 15 and this is our lesson rn
They seemed hard to me at first but now it's easy when i went through it . #synthetic formulae
sorry if someone has already mentioned this. Check me, but your result at 21:40 includes positive 3. If you test 3 in the original equation, it = 18. So, 3 is not in the domain of this polynomial.
I know it's years later, but his solution is correct. You got your algebra mixed up somewhere along the way. Just so nobody gets confused.
u are better than my college professor thank you
You are brilliant
you just saved my exam dude !
How do you know whether its a positive or a negative or both in the parenthesis
I have been a math tutor for a long time, I have seen many ways to factor a trinomial, but the one this video showed is the most complicated one and it does not have to be this way, there is a much easier way to do.
thanks so much sir,your videos are really helpful alot
Thank you
Thank you so much you are a life saver
Keep going You have wonderful Way to explain your point
Best wishes
🇸🇦
Keep it up sir, God's grace
thnx bro!
good going.
Thank you million times😢😢❤❤❤
hello there, just for some extra fun, I have an expression: 16Y^2-25X^2+10x-1, how would you solve this problem? I m stuck at (4y+-5x)+(10x-1), but this is not the right answer... please help?
(-9) to the second power is 81, and -9 to the second power is -81.
every time that I watched one of these videos it just makes me more confused I think I need to go back to before you got to this point and see if there's a beginners video 😆
Thank you!
tnx bro, good job
teacher giving me review packets like i actually remembered anything
This guy is so jack by carrying the whole math department.
i appreciate you more than you know
Your explanation is good but please increase the voice sound!!
straight up wizardry
Thx 4 the trial and error method
Thank you, Mark Wahlberg.
Right?!
great job
5:47 why its -7 and 3 ? We said that -21 = -3 * 7, so it should be 7 and -3...
Would you be able to do an example of
Y^1/4-6y^1/4+8=0
Please!
6:11 those 5 seconds of silence 🥲😂
ok umm... at 3:58 shouldnt it be " x = 3,4 " not " x = -3,-4 " bc if you add -3 and -4 its -7 not posative 7. they do eqaul posative 12 but a negative and a negative dont eqaul a posative? or am i just mixing things up.
Best ever content 😍
great tutorials
How to solve solution of x for the polynomial equation x^4-5x^2-44=0? This question is killing me in the final review of Chapter 4 question 3b.) Advanced Functions Nelson textbook. The answer is x=~+-3.10, but how they got it?
Thank you so much
.Thank you.
thank youuuuu
so helpful
are your playlist organized? like lesson 1 lesson 2 like that?
You must be fun at parties
I know right!?
@@haillanadelrey5292 AWEYA
I'd hang out with this dude
Hail Lanadelrey That’s just a bit over the top dude.
Thank you so much
Help me guys
Solve the following polynomial equations. Show your solutions.
1. (x + 9) (x-5) = 0
2. x²-12x+ 20 = 0
3. (x-3)2(x-6)3=0
Thank you soo much 😭😭😭😭😭😭
hi guys can i ask? after you solve that problem you have to graph it nxt?
pls answer me, it's always (x-1) in synthetic division? reply plz. thx
maybe
@@ziing5963 I like how this comment was 2 years ago, and then you reply nearly a year later...
I don't even remember this lol, hope I gave them the help they needed
Thanks even though I am a nine year old I knew some of the problems you were giving us and I actually needed help with some of them by the way I'm in fifth grade
algebra and pre-calculus in fifth grade lol ok
anyone else here one day before the end of the semester and tryna get some extra points before they fail the whole year
lol, close to one day before
Let's do this!
Ah okay this was an amazing video, but my math teacher assigned me this problem 4(w^2+7)(w^2+4) I was able to factor the w squared plus four easily but I dont know what to do with the w squared plus 7.
did you get the answer???
@@No.Pressure NOPE ;-; I have no idea how to do this crap I forgot right after I ended this class. If you have the option your senior year to take statistics TAKE IT, do not take calculus. Statistics is way less stressful and is way more useful if you don't plan on doing a career in stem.
As a German exchange student that doesn’t understand pre Calc I can just say Kuss auf die Nuss
Your voice is so beautiful
Algebra test in 10 minutes. Trying to recap. Here we go! O,o
Arigato Senpai
Good
@3:12 what do we do with the 2 that was factored out? Why does it disappear?
hey i have a test in a few hours it would be nice if someone told me a quick way of finding those gcfs like he does in the video.
Wali Hamid did you pass ur test
@@zachrobinson5616 the legend says he's still in the test
but if the synthetic division didn't work, what should we do?
I Love this💖
what is the program that u are using?
mspaint
lol
21:44 Why are the numbers changed from positive to negative and negative to positive at the end of the final step?
Lee Blackwood because u have to factor each one of them. Per example. The first one is x+2= 0 then you transport the ‘2’ to the other side and it becomes negative. Therefore ur answer is x= -2. (Zero is gone)
good video
Thanks to synthetic division
What about when it doesn’t equal 0?
Awesome
So helpful 🙄🙄🤓
Does anyone know how can I find ( if its not 1 or -1) the factor without to need to try all the numbers? For example if a0=24 the possible solutions are +-24,+-12,+-6 etc how can I find the solution without to try all of them
Have to try them all
i watched the whole video and i know how to do it, im an incoming grade 7
3a + 3b + ax + bx ?
Factor by grouping method
3a + 3b + ax + bx =
3(a+b)+x(a+b) =
(3+x)(a+b)
Sir what if the x doesn't have a power
Then you solve for x
It is much harder to find the square root of the large number
Is this a level maths.