Partial Fractions - Denominator with quadratic factors | SHS 1 ELECTIVE MATH

SERIES ON PARTIAL FRACTIONS
TOPIC: PARTIAL FRACTIONS - DENOMINATOR WITH QUADRATIC FACTORS
In this video, we are going to learn how to decompose a rational function with a quadratic factor to smaller of component fractions.
If the denominator of a rational function has only linear roots, the numerator of each linear factor is a constant if the rational function is to be resolved into partial fractions.
Subscribe to @Skancityacademy on youtube
Check out my playlist on Senior High School (Maths)
• Senior High School (Ma...
Whatsapp: [phone]
Instagram: sir_john_skancityacademy

[@Voy2k23]

After watching 5 unhelpful videos , this one really helped me. ThANK YOU MAN.

[@SkanCityAcademy_SirJohn]

You are most welcome

[@tobeychristel9633]

Thank you very much this video was of great help to me, God bless you.

[@SkanCityAcademy_SirJohn]

Amen, you are most welcome

[@mrpumpkind6623]

you are a life saver!(literally)

[@SkanCityAcademy_SirJohn]

Aww thanks

[@almamarialmamari2882]

man i love you, now i have hope for an academic comeback

[@SkanCityAcademy_SirJohn]

Wow, that's great 👍 thanks so much for watching. Where do you watch me from?

[@almamarialmamari2882]

@@SkanCityAcademy_SirJohn Oman From the middle east

[@SkanCityAcademy_SirJohn]

@@almamarialmamari2882 thanks so much

[@silmaz7916]

Much love from Turkeye, great video and explanation

[@SkanCityAcademy_SirJohn]

Thanks so so much

[@efeoghene1622]

Hello. I have a similar problem regarding this partial fraction with a quadratic denominator. Can i send you the question so you could help out ?

[@comfortessandor9646]

Wow. thanks so much sir

[@SkanCityAcademy_SirJohn]

You are most welcome. All the best in your academics

[@Itsprofe4Choonga]

Who else is watching in 2024 😂❤

[@SkanCityAcademy_SirJohn]

🙏🙏

[@FelixMasalakufa]

😂😂😂

[@cappmasters7253]

That's me😂

[@BILLIONAIREMINDSET-uj3yx]

Watching it in August 😂

[@SkanCityAcademy_SirJohn]

@@BILLIONAIREMINDSET-uj3yx great

[@thertzejun1178]

Thankyouuuuu I had been hopeless the entire day becuz of partial fraction and this vid literally saved my life

[@SkanCityAcademy_SirJohn]

You are most welcome, where do you watch me from?

[@thertzejun1178]

@@SkanCityAcademy_SirJohn I found you when I searched partial fractions with quadratic factors

[@SkanCityAcademy_SirJohn]

@@thertzejun1178 that's great

[@SkanCityAcademy_SirJohn]

@@thertzejun1178 what's your nationality?

[@thertzejun1178]

@@SkanCityAcademy_SirJohn Malaysian haha

[@MARVELOUSAWOBAJO-vy1cm]

Thank u so much for this video it was really helpful

[@SkanCityAcademy_SirJohn]

Aww thanks

[@VijaySingh-kp9dg]

How to calculate B and C if we don't have quadratic equations on the RHS

[@mayarmohamed1103]

Amazing🎉

[@OLIVIAKabo-od6wn]

Tnks amaxing teacher u are the epitome of maths teacher 😊❤

[@SkanCityAcademy_SirJohn]

Aww thanks much

[@user-gv8iq3eu6s]

Thanks so much ❤❤❤

[@SkanCityAcademy_SirJohn]

Most welcome.
Thanks for watching

[@resiniabeysekera3961]

this is prefect , thank you sir

[@SkanCityAcademy_SirJohn]

You are most welcome

[@cappmasters7253]

You video is useful thank you sir

[@SkanCityAcademy_SirJohn]

Most welcome

[@bubbleguy353]

thank uuu alot sir this really really helped me alot❤❤❤❤ good work sir thank uuu sooo much

[@SkanCityAcademy_SirJohn]

You are most welcome. Thanks for watching as well

[@EkuaAmponsah-wj2dg]

Love your method Nice

[@SkanCityAcademy_SirJohn]

Thanks so much Ekua, where do you watch me from?

[@IllustriousProfessional]

it was really helpful❤

[@SkanCityAcademy_SirJohn]

Thanks so much

[@Tastygarden1]

I have a question. Why we put the denominator linear factor equal to zero. Even when we let the denominator equal to 0 the whole expression will become undefined. And why not we put the quadratic factor equal to zero. Please reply me as soon as possible. Thanks.

[@SkanCityAcademy_SirJohn]

Hello, the idea is always to eliminate two constants and have only one constant remaining at a time.
Can you come again with your question. I don't really get you.

[@Tastygarden1]

the question is that when we let the denominator factor =0. What is the logic how could we let it =0. please answer me. it is very urgent.@@SkanCityAcademy_SirJohn

[@SkanCityAcademy_SirJohn]

Is it a general question, or a question from my video, if it's a question from my video, please state the time in the video.

[@florencembulo3198]

Thanks it help alot

[@SkanCityAcademy_SirJohn]

You're welcome

[@abdullah4759]

What if numerator is only a single number with no x^2? Then how do you compare

[@SkanCityAcademy_SirJohn]

You will still use the same approach, just that this time the LHS will be equal to 1, and you try to eliminate two constants in each step to find the other constant

[@abdullah4759]

@@SkanCityAcademy_SirJohn thank you very much

[@SkanCityAcademy_SirJohn]

You are most welcome

[@user-qc5bo6zq4k]

Thank you so much

[@SkanCityAcademy_SirJohn]

You are most welcme

[@janeshnair9452]

Thank you so muchhh

[@SkanCityAcademy_SirJohn]

Very welcome

[@chibuchinwachukwu2342]

Thanks u sir

[@SkanCityAcademy_SirJohn]

Most welcome

[@fairuzmalihamaya9976]

thanks, sir

[@SkanCityAcademy_SirJohn]

You are welcome

[@Cottage_fairy]

Superb

[@SkanCityAcademy_SirJohn]

Thanks so much

[@osasuruth1207]

Sir what about this question 2x^2+3x+10/(x+1)(x+2)

[@SkanCityAcademy_SirJohn]

For this question, you will use the improper fraction method.
After the long division you will get
2 + (-3x + 6)/(x+1)(x+2)
Hence you work of the term on the right hand side
A /( x+ 1) + B / (x + 2).
You will get A = 9 and B = -12.
Finally you have the decomposition to be
2 + 9/(x+1) - 12/(x+2)
Sorry for the late reply

[@osasuruth1207]

Thank you and there's no problem sir

[@SkanCityAcademy_SirJohn]

@osasuruth1207 you are welcome, which school do you attend?

[@freshkidotv8550]

So great

[@SkanCityAcademy_SirJohn]

Thanks so so much

[@user-pp5di3pi8q]

thank you

[@SkanCityAcademy_SirJohn]

You are welcome

[@clifendyemilien6527]

😎😎

[@PortiaAuntie-rt2dd]

Please what if the numerator is not a quadratic equation

[@SkanCityAcademy_SirJohn]

Kindly explain further, do you mean if you have an improper fraction?

[@ZainArtz]

final answer is covered by end title

[@SkanCityAcademy_SirJohn]

okayy

[@nolanminev2064]

How do you even get 5x^2-3x+4 it seems so out of nowhere like he just wrote it down and I couldn’t follow

[@SkanCityAcademy_SirJohn]

Can you explain further ?

[@samisamby8044]

it's the numerator of the original function that he chose for the example.

[@Yeurtt_x1]

Sir please I want to make similar vidoes but I don't know how to start

[@SkanCityAcademy_SirJohn]

Just prepare and start

[@user-il9wn7rl3j]

7:01 can somebody explain why it's -2 instead of 2? Bcs earlier he puts x equal to 2???

[@SkanCityAcademy_SirJohn]

In finding the value of c, we want to compare coefficient of x, we have expressions with x attached as ' Cx - 2Bx' = -3x.
From the LHS, coeefifcent of x is -2B, that's where the negative comes from.

[@aadik07]

Why are you making it harder and explaining it ??? We can take X= 0 and find C ? LOL

[@SkanCityAcademy_SirJohn]

Thanks for your contribution.

[@atlanticschool1367]

So that i can understand it in detail

[@amnanaqvi7073]

😂

[@nathanchan5439]

feins in this comment section

[@SkanCityAcademy_SirJohn]

Okay. Thank you

[@fauzanabdillah666]

goodjob amang india well 🥸

[@SkanCityAcademy_SirJohn]

Great