BT

[indigo mica]

How do u start with this?
Had thought to divide by x^100 individually but didn't have the feeling to reach the right answer toh chodd diya 🙂
help pls !

[humble quest]

<@&1227988399579730072>

Note for OP

+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.

[alpine sable]

Remainder theorem

[noble shore]

Magnet hai ya Acheiver?

[alpine sable]

Let x¹⁰⁰=q(x)(x-1)(x-2)+r(x)
r(x) must be linear since divisors is quadratic

[noble shore]

(ECAPS mat bolna)

[alpine sable]

And then just plug in x=1,2

[noble shore]

this was in 10th and ommited tha ye

[alpine sable]

Don't underestimate ecaps bro

[noble shore]

ik tabhi bol raha hu agar ECAPS itna ganda hai then magnet and acheiver to 💀

maine S3 ka pehle kuch Q hi kare and they were epik

[alpine sable]

Imo maths wali utni gandi nahi hai but the chem one is 🥶

[noble shore]

ECAPS????

or Magnet/Acheiver

[alpine sable]

ECAPS. Tbf my chem is pretty weak so maybe that.

[noble shore]

chem weak hai tabhi 99/9%ile aayi nahi to 100 le aate

[alpine sable]

I don't wanna play the blame game but ||chem faculty||

[noble shore]

same dude ;-; tabhi ab thoda achche teachers se padha karunga and material to hai hi mere paas

[alpine sable]

Self study da best

[noble shore]

coming back to this
can you elaborate a lil more please??

[noble shore]

riyal man

[alpine sable]

We write x^100 as p(x)*(x-1)(x-2)+r(x), where p(x) and r(x) are polynomials. Now by division by quadratic, the remainder must be linear. Now plugging in x=1 and x=2 gives us r(x)=1 and r(2)=2^100

Now just assume r(x)=ax+b and then you have 2 variables, 2 equations.

[noble shore]

ohhhhhh ok got it got it

[indigo mica]

chill magnet

[noble shore]

https://tenor.com/view/2omb-prayge-gif-24836248

[indigo mica]

ispe thoda pdhna padega

[indigo mica]

similar thing done by soln, couldn't interpret, now i think i have some idea about it

thnku

+solved @alpine sable