5. Partial Fractions - Example 3 (partial fractions with non-factorizable quadratic factor)
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- Опубліковано 24 вер 2012
- Express (5x^2+7x+8) / [(x+1)(x^2+2x+3)] into partial fractions.
An example with non factorizable quadratic factor.
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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 😄
you are a lifesaver sir 😌 i really wanted this explanation to clear my doubt thank you so so much
this was really helpful, thanks :)
thank you :D very helpful on my BC homework
May God bless you.. It helps me alot
Great ❤explanation ... Thank you Sir🙏
On the way you found c as -1,(x+1) bracket is left out, because x=0+1=1
thanks, this helped tremendously
Thanks...helped me alot!
Great video. Thank you sir
This guy is a legend
Nice explanation sir
very helpful!!!
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)
When 5x^2+7x+8 at the left side then you derived it into 5-7+8?? How 7x become -7??
YOOO this helped me for my test 💯💯
Excellent sir
Thank you so much . :)
Thanks🙏🏻 Love From India❤️🙏🏻
You're most welcome!
thank you so much
It helped a lot. thank uvry much
M sure
Thank you
thank you :)
thank u sir
Nice explanation.
Thank you! Please subscribe and let me know what else you would like to see.
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! :)
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.
ua-cam.com/video/OzTdrEVo950/v-deo.html
thank you
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!
THANKS FOR SAVING ME BEOFRE THE DUE DATE REACH 😂
Thanks bang
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 very much sir
Thank you. Glad you learn something useful here. Please subscribe.
It can be factorised
i had tried another example but its not working could you please help me
It was really very helpful
4 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 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.
It's helping
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.
This is very hepful
Thanks! Glad you find it useful!
Where can't you factorize the dinominator
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!
helpful video
Glad you think so!
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*
It's really helpful to me thanks ❤️
You're welcome 😊
HOW 5X2+7X+8 BECOME 5-7+8,,, ANYONE EXPLAIN ME
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
How x is considered 0 in 2nd step?
Hit and trial
(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. ...
how can i get tuition from you
You can go to our website www.numberskill.com for more details.
in 5:38 how can it be 2b-2
you aregood
B value given 7
Sorry, can you be more specific so I can help you? :)
why did you consider x=0 in 2nd step and ×=1 in third step
Using hit and trial
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 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.
🔥
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 can't understand your process 😔
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. :)
X=1 kaise hua
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
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.
*OKHEYYY*
Good teaching but fix ur mic
Sorry for that. These are super old videos using super old mic.
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'.
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. :)
not helpfulll
May God bless you.. It helps me alot
Thanks sir
Thank you
You're welcome! Glad to help. Please subscribe!
Thank u sir
You're welcome! Please subscribe for more new videos.
May God bless you.. It helps me alot
May God bless you.. It helps me alot