5. Partial Fractions - Example 3 (partial fractions with non-factorizable quadratic factor)
ฝัง
- เผยแพร่เมื่อ 4 ต.ค. 2024
- Express (5x^2+7x+8) / [(x+1)(x^2+2x+3)] into partial fractions.
An example with non factorizable quadratic factor.
If you like what you see, please subscribe to this channel! www.youtube.com...
For more videos, please visit www.numberskill...
Like us on Facebook / garyang.math
Follow us on Google+ plus.google.co...
really helpful :) please refer to part 2 if you not sure where Bx + C comes from.
How bout when one of the linear factors has just an x under it so we can't use zero to get rid of the Cx? since that will also get rid of (Cx + D)?
thank you so much , you saved my life
I have an exam tomorrow
Good teacher. I'm ateacher of math all so.
Singapore accented english dayum malaysian here 😄
On the way you found c as -1,(x+1) bracket is left out, because x=0+1=1
When 5x^2+7x+8 at the left side then you derived it into 5-7+8?? How 7x become -7??
May God bless you.. It helps me alot
thank you :D very helpful on my BC homework
Nice explanation sir
Its sad how teachers who dont teach get paid yet you post these videos free of charge...Thanks, I got it but the assignment given to us was just way too difficult...
Thanks for your kind words. The concept is the same even though the questions are different. If you understand the logic, you should be able to apply it to other questions. All the best!
you are a lifesaver sir 😌 i really wanted this explanation to clear my doubt thank you so so much
Pls tell me.
why we wrote constants like A,B,Ax+B in neominator?????
The numerator will be a constant such as A or B if the denominator is a linear factor. The numerator will be Ax+B if the denominator is a non-factorable quadratic factor. This is because the numerator is always at least 1 degree lower than the denominator. There is a more in-depth reasoning behind this rule. Let me know if you are interested. I can upload the video for you! :)
This guy is a legend
B value given 7
Sorry, can you be more specific so I can help you? :)
this was really helpful, thanks :)
Great ❤explanation ... Thank you Sir🙏
Nice explanation.
Thank you! Please subscribe and let me know what else you would like to see.
Please can you doan example where x is what of the factors as x alone (linear factor) i.e consider and the denominator of the expression x(x+1)(x-2)
Where can't you factorize the dinominator
Thanks🙏🏻 Love From India❤️🙏🏻
You're most welcome!
YOOO this helped me for my test 💯💯
It can be factorised
u said the denominator is one degree higher...but at the end with the two examples..the denominator was like 3 degrees higher
thank you so much
How would it look like after we integrate it sir?
Hi there, integration involving a non-factorizable quadratic denominator involves the formula with tangent inverse (or arctan). I'm not sure if you are familiar with that formula. Integrate (1/(x^2 + a^2)) dx = 1/a arctan(x/a) + c. I'll try to find a video on that soon. Watch out for it.
Thanks...helped me alot!
I can't understand your process 😔
Damn it made me confuse! My prof taught us a more complicated one because of coefficient method
I'm sorry if the video didn't help you. You can check out the updated version on the discussion on the cover-up rule.
th-cam.com/video/OzTdrEVo950/w-d-xo.html
Great video. Thank you sir
Sir how about the (X+1) isn't it suppose to be (1)
Sorry can you provide the timestamp? So that I can answer you more accurately.
x+1 and 1 are not the same.. x is an independent variable until it is given a value
Thank you
You're welcome! Glad to help. Please subscribe!
how can i get tuition from you
You can go to our website www.numberskill.com for more details.
Why u have take x =0 and x = 1 to find B and C??
Hi, actually you don't have to use x=0. Using x=0 is a good idea because it immediately gets rid of B and you will end up with an equation with only C, so you can solve for C immediately. If you let x be any other values, it will become an equation with both B and C so you end up having to solve simultaneous equations for B and C. It is also correct. I feel that putting x=0 will be more efficient and safer because you can find C directly.
I hope that help! :)
It can be factorised@@numberskill
i had tried another example but its not working could you please help me
Hi thank you very much for this video ..
can I know what is the program you use in this video?
Thank you! I used Camtasia to do the screen recording.
@@numberskill
Excuse me, Professor. I don't mean how filmed video but I mean how you type the example. In which program?
HOW 5X2+7X+8 BECOME 5-7+8,,, ANYONE EXPLAIN ME
This is very hepful
Thanks! Glad you find it useful!
Excellent sir
Thank you very much sir
Thank you. Glad you learn something useful here. Please subscribe.
thanks, this helped tremendously
(x^2-10x+13)/(x-1)(x^2-5x+6)=(A/x-1)+(B/x-2)+(C/x-3) is the question we have to ffind C there can u explian or give the solution ???? please
Thank you so much. ...
Why you're accent is a mixture of Indian and American
I have to admit I do sound weird. Partly it was the mic and partly it was the first batch of recordings I made, so I was nervous I guess. I hope you can understand the content despite that! :)
We're having a free Mid-Year Exam assessment for "O" and "A" level students affected by the school closures. You can participate for free. Go to www.numberskill.com/mid-year-exam/ for more details.
@@numberskill nah man ur accent slaps.
@@numberskill It was asian, similar to 'ownage pranks'.
Thanks sir
thank u sir
why did you consider x=0 in 2nd step and ×=1 in third step
Using hit and trial
Thanks bang
Thank you so much . :)
wat if we don't write x beside B or why do we need to put x beside B?
Ali Hasnain the degree of the numerator must be one less than the denominator
It helped a lot. thank uvry much
M sure
Thank you bro
You are so welcome!
We're having a free Mid-Year Exam assessment for "O" and "A" level students affected by the school closures. You can participate for free. Go to www.numberskill.com/mid-year-exam/ for more details.
How x is considered 0 in 2nd step?
Hit and trial
X=0 how you took in second step
By letting x be 0, you can get rid of B and form an equation to find C. I hope this helps.
Can someone help me in expanding this equation.
(X+1)³
Firstly the quadratic equation can be factorise easily bro
No it cant be........ try it
If you are considering complex numbers, then yes, it will be factorizable. But I'm not sure it "O" level students will call it easy. :)
It's helping
THANKS FOR SAVING ME BEOFRE THE DUE DATE REACH 😂
thank you :)
in 5:38 how can it be 2b-2
Here I am again🤗🤗
Thank you sir
You are welcome. Glad that you find the videos useful. Please subscribe. I'm planning to start a #AskGaryAng show on this channel, please let me know if you have anything to ask! Thanks!
Thank you but at last time of this video how to crossmultiplication
Hi, thanks! Exactly which part do you need help with? We will try to help you the best we can.
helpful video
Glad you think so!
It's really helpful to me thanks ❤️
You're welcome 😊
very helpful!!!
It was really very helpful
4 me😊😊😊😊
Good teaching but fix ur mic
Sorry for that. These are super old videos using super old mic.
Where did you get the Bx+C from?
bc the numerator is always 1 degree lower than the denominator. if you have x^2 at the denomintor, the numerator must be Bx + C and if the denominator is x^3, the numerator will be Bx^2 + Cx + D.
at least 1 degree lower*
Sir ji this method is very confusedly
Sorry for the confusion. There are other methods to solve partial fractions. This substitution method is just one of them and it is usually more efficient than comparing coefficients.
X=1 kaise hua
you aregood
🔥
Nice but dont prolong the video 😯
Thanks for the feedback. I assumed you mean that the video was too long for its own good. Will bear that in mind for the newer videos. :)
*OKHEYYY*
not helpfulll
May God bless you.. It helps me alot
thank you
May God bless you.. It helps me alot
Thank u sir
You're welcome! Please subscribe for more new videos.
May God bless you.. It helps me alot
Thank you