5. Partial Fractions - Example 3 (partial fractions with non-factorizable quadratic factor)

[@YharoTorres]

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)?

[@gyverleong2595]

really helpful :) please refer to part 2 if you not sure where Bx + C comes from.

[@mathbunroeung7019]

Good teacher. I'm ateacher of math all so.

[@AMJAD902012]

thank you so much , you saved my life I have an exam tomorrow

[@mwakagodfrey6728]

On the way you found c as -1,(x+1) bracket is left out, because x=0+1=1

[@oluyewizi]

May God bless you.. It helps me alot

[@memoonanawaz9645]

Pls tell me. why we wrote constants like A,B,Ax+B in neominator?????

[@numberskill]

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! :)

[@zingisashwaye7349]

Great ❤explanation ... Thank you Sir🙏

[@prx3njal]

This guy is a legend

[@woozhi9218]

Singapore accented english dayum malaysian here 😄

[@Rahul-hn7jz]

you are a lifesaver sir 😌 i really wanted this explanation to clear my doubt thank you so so much

[@jaidenuiki1]

thank you :D very helpful on my BC homework

[@MrFluxx]

When 5x^2+7x+8 at the left side then you derived it into 5-7+8?? How 7x become -7??

[@priyankanair9666]

this was really helpful, thanks :)

[@rhanmanthu1818]

Nice explanation sir

[@editsbyriyu]

Thanks🙏🏻 Love From India❤️🙏🏻

[@numberskill]

You're most welcome!

[@himanirawat3197]

Nice explanation.

[@numberskill]

Thank you! Please subscribe and let me know what else you would like to see.

[@elyu7792]

How would it look like after we integrate it sir?

[@numberskill]

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.

[@mocy6210]

how can i get tuition from you

[@numberskill]

You can go to our website www.numberskill.com for more details.

[@marwamohammed7849]

Hi thank you very much for this video .. can I know what is the program you use in this video?

[@numberskill]

Thank you! I used Camtasia to do the screen recording.

[@marwamohammed7849]

@@numberskill Excuse me, Professor. I don't mean how filmed video but I mean how you type the example. In which program?

[@albertesera4197]

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)

[@ahmadsstrategies5555]

YOOO this helped me for my test 💯💯

[@josephchenda8584]

Where can't you factorize the dinominator

[@sijoe1010]

Sir how about the (X+1) isn't it suppose to be (1)

[@numberskill]

Sorry can you provide the timestamp? So that I can answer you more accurately.

[@theeccentric7606]

x+1 and 1 are not the same.. x is an independent variable until it is given a value

[@MattBriggsTV]

Great video. Thank you sir

[@ShyamSunderkk245]

i had tried another example but its not working could you please help me

[@naveenraramparambil7819]

Excellent sir

[@aiseanaugavule6501]

Thanks...helped me alot!

[@jyoti8192]

Why u have take x =0 and x = 1 to find B and C??

[@numberskill]

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! :)

[@maitadie2001]

It can be factorised​@@numberskill

[@amiirgamal3106]

Thank you very much sir

[@numberskill]

Thank you. Glad you learn something useful here. Please subscribe.

[@Thisismyyoutubehandle1]

thanks, this helped tremendously

[@hopenyirenda9763]

Thank you

[@numberskill]

You're welcome! Glad to help. Please subscribe!

[@rajivchatterjee6056]

Thank you bro

[@numberskill]

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.

[@94D33M]

u said the denominator is one degree higher...but at the end with the two examples..the denominator was like 3 degrees higher

[@othnielonyoutube]

Here I am again🤗🤗 Thank you sir

[@numberskill]

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!

[@teenamahor9690]

It's really helpful to me thanks ❤️

[@numberskill]

You're welcome 😊

[@brimakoroma9388]

It helped a lot. thank uvry much

[@ayeshamalik2754]

M sure

[@MrTomadevil]

Where did you get the Bx+C from?

[@chingweeho5129]

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.

[@chingweeho5129]

at least 1 degree lower*

[@toyintawaokunola4334]

This is very hepful

[@numberskill]

Thanks! Glad you find it useful!

[@doaard9174]

thank you so much

[@alihasnain7417]

wat if we don't write x beside B or why do we need to put x beside B?

[@Ireemo1]

Ali Hasnain the degree of the numerator must be one less than the denominator

[@ShyamSunderkk245]

(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

[@shahbhavik8153]

Thank you so much. ...

[@coffeeonmyfoot86]

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...

[@numberskill]

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!

[@maitadie2001]

It can be factorised

[@zackygundran3349]

Damn it made me confuse! My prof taught us a more complicated one because of coefficient method

[@numberskill]

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. kzbin.info/www/bejne/hau3laV7i9Rsa5I

[@shubhamkawle3565]

B value given 7

[@numberskill]

Sorry, can you be more specific so I can help you? :)

[@sanju9948]

helpful video

[@numberskill]

Glad you think so!

[@bejjamjoseph4923]

Thank u sir

[@numberskill]

You're welcome! Please subscribe for more new videos.

[@whenweallfallasleepwheredo2050]

HOW 5X2+7X+8 BECOME 5-7+8,,, ANYONE EXPLAIN ME

[@qiaraophelialim5403]

Thank you so much . :)

[@niaziameer7377]

How x is considered 0 in 2nd step?

[@yashraj8856]

Hit and trial

[@riparahman4820]

It was really very helpful 4 me😊😊😊😊

[@toobatasleem7888]

why did you consider x=0 in 2nd step and ×=1 in third step

[@sushantagrawal2007]

Using hit and trial

[@lurinim]

very helpful!!!

[@hanisyamimi6178]

Thanks bang

[@karanapurajanikanthi5074]

X=0 how you took in second step

[@numberskill]

By letting x be 0, you can get rid of B and form an equation to find C. I hope this helps.

[@williamsonyenwe8176]

Can someone help me in expanding this equation. (X+1)³

[@whenweallfallasleepwheredo2050]

THANKS FOR SAVING ME BEOFRE THE DUE DATE REACH 😂

[@josephkamalamba]

It's helping

[@kamohelolesofe7670]

thank you :)

[@DawahwithGufran]

Thank you but at last time of this video how to crossmultiplication

[@numberskill]

Hi, thanks! Exactly which part do you need help with? We will try to help you the best we can.

[@samsung-mc5dn]

I can't understand your process 😔

[@ahmadmonim3192]

in 5:38 how can it be 2b-2

[@shubhamkawle3565]

Sir ji this method is very confusedly

[@numberskill]

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.

[@Sonuofficial72]

X=1 kaise hua

[@abhishekthakur2933]

Why you're accent is a mixture of Indian and American

[@numberskill]

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.

[@tomholland-kh3uz]

@@numberskill nah man ur accent slaps.

[@kartikkalia01]

@@numberskill It was asian, similar to 'ownage pranks'.

[@darshangoyal2475]

Good teaching but fix ur mic

[@numberskill]

Sorry for that. These are super old videos using super old mic.

[@raunandawapeka3120]

you aregood

[@rajshreedadhe2887]

Firstly the quadratic equation can be factorise easily bro

[@riyaagarwal1409]

No it cant be........ try it

[@numberskill]

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. :)

[@sword0825]

🔥

[@hamayalsweety8415]

Nice but dont prolong the video 😯

[@numberskill]

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. :)

[@kartikkalia01]

*OKHEYYY*

[@muhammadamirsohail029]

not helpfulll

[@oluyewizi]

May God bless you.. It helps me alot

[@sharmisthabiswas7468]

thank you

[@abhaypatel1720]

Thanks sir

[@jayantamondal1986]

thank u sir

[@oluyewizi]

May God bless you.. It helps me alot

[@oluyewizi]

May God bless you.. It helps me alot

[@yudayeswar5378]

Thank you