~THANK ME LATER~ 00:01 Understanding the terminology related to polynomials 02:05 Covered concepts and terminology of polynomials 06:07 Variables and constants in algebraic expressions. 08:27 Fundamentals of algebraic expressions include variables and constants. 13:57 Understanding the concept of powers and polynomials. 16:06 Covered concepts of polynomials and variables in 1 shot 19:54 Polynomials are arranged in standard form by arranging terms in descending order of their degree. 21:44 Polynomials have various power terms and exponent rules 25:56 Understanding the concept of polynomials 27:44 Understanding polynomial terms and conditions 32:43 Understanding the concept of leading coefficient and standard form for polynomials. 34:57 Understanding the concept of degree in polynomials 39:01 Polynomials are expressed in standard form by arranging terms in decreasing order of power. 41:02 Concepts of polynomials explained with examples and types. 45:34 Understanding constant polynomials and their degree 47:40 Understanding zero polynomial and its degree 52:02 Polynomials are classified based on their degrees. 54:13 Understanding the concepts of polynomials including quadratic, linear, bi-quadratic and zero polynomial 58:12 Value of a polynomial is determined by substituting the variable. 1:00:28 Solving polynomial equations and finding values. 1:04:35 Understanding the concept of zeroes of a polynomial 1:07:04 Understanding the concept of zero of a polynomial 1:11:05 Understanding the concept of finding roots and polynomial values. 1:13:30 Finding the value of k when x = 4/3 is a root of a polynomial. 1:18:33 Reminder theorem for polynomial division 1:20:41 Understanding the Reminder Theorem 1:24:45 Understanding factors of polynomials and their significance 1:26:55 Factor theorem explains what values make a given polynomial equal to zero. 1:32:40 Finding the value of k and p in a polynomial equation. 1:35:12 Finding the second equation from given values 1:39:29 The video covers polynomial factorization and factor theorem 1:41:14 Factors of a polynomial can be found using the middle term splitting method. 1:45:18 Factoring polynomials to find zeros in 1 shot 1:47:29 Understanding zero properties and middle term splitting method 1:51:38 Factoring polynomial expressions with common factors 1:53:30 Factorization of cubic polynomials using the factor theorem 1:57:37 Understanding and evaluating polynomial values for different variables 1:59:50 Explaining factor theorem and finding factors for polynomials 2:04:28 The video covers polynomial factorization using middle term splitting method. 2:06:33 Factorization and Algebraic Identities 2:11:05 Solving polynomial equations using mid-term splitting method. 2:13:14 Solving polynomials in two variables 2:17:36 Polynomials factorization using the difference of squares 2:19:47 Polynomials and factorization are covered in the video
Kamal sir is giving his best to make the lecture interesting. Thank you so much sir I would like to study rest of the chapters from from you and don't listen to those who doesn't want u to teach. Just remember you are best teacher in your own way ❤👍
Here is the solution: 1:38:33 Given, the polynomial is px² + 5x + r x - 2 and x - 1/2 are factors of the polynomial. We have to show that p = r. Let f(x) = px² + 5x + r Now, g(x) = x - 2 g(x) = 0 x - 2 = 0 x = 2 Put x = 2 in p(x), p(2) = p(2)² + 5(2) + r = 4p + 10 + r At x = 2, p(x) = 0 So, 4p + 10 + r = 0 --------------- (1) Now, h(x) = x - 1/2 Put x = 1/2 in p(x), p(1/2) = p(1/2)² + 5(1/2) + r = p/4 + 5/2 + r = (p + 2(5) + 4r)/4 = (p + 10 + 4r)/4 At x = 1/2, p(x) = 0 (p + 10 + 4r)/4 = 0 p + 10 + 4r = 0 ------------- (2) On comparing (1) and (2), 4p + 10 + r = p + 10 + 4r By grouping, 4p - p + 10 - 10 = 4r - r 3p = 3r p = r Therefore, it is proved that p = r
Ye sir log keh to dete hai ki kuch samajh nahi aaye to comment karna ham phir samjha denge par koi teacher esa nahi karta mene bahut saare doubts puchhe hai inke comments mein par koi jawab nahi deta 😡😡😡😡
Kon kon 8th class ke baad exam khatam ho jane ke bad holiday me or 1chapter khatam karne ke bad dhek raha he .... Like karu comment ka reply dugo tu tumhare reply ko like milega
Sir please leave 🙏🏻🙏🏻 yeh me ees liye kah Raha hu kyoki AAP ke questions me pahle krta hun fir answers dekhta hun lekin aapne ye Jo question 1:38:26 PR Jo question hai us question ne mera pure dimag ka dahi kr Diya thha aapse samjhke uprse aapne eeska dhang se solution bhee nahi karaya 😏😏
why is there is so much hate for kk sir,in my opinion he is the one of the best teacher I have seen in my entire life ❤heart for u kamal koushik sir .👍🏻
👉 Practice Sheet - Go to Batch - Subject Section - Open DPP PDF Section.
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.sir abb acha nahi padha rahe hai
I didnt understand factor therom
Yes
😢👿😥😡😡😡😡😡😡😡😡
~THANK ME LATER~
00:01 Understanding the terminology related to polynomials
02:05 Covered concepts and terminology of polynomials
06:07 Variables and constants in algebraic expressions.
08:27 Fundamentals of algebraic expressions include variables and constants.
13:57 Understanding the concept of powers and polynomials.
16:06 Covered concepts of polynomials and variables in 1 shot
19:54 Polynomials are arranged in standard form by arranging terms in descending order of their degree.
21:44 Polynomials have various power terms and exponent rules
25:56 Understanding the concept of polynomials
27:44 Understanding polynomial terms and conditions
32:43 Understanding the concept of leading coefficient and standard form for polynomials.
34:57 Understanding the concept of degree in polynomials
39:01 Polynomials are expressed in standard form by arranging terms in decreasing order of power.
41:02 Concepts of polynomials explained with examples and types.
45:34 Understanding constant polynomials and their degree
47:40 Understanding zero polynomial and its degree
52:02 Polynomials are classified based on their degrees.
54:13 Understanding the concepts of polynomials including quadratic, linear, bi-quadratic and zero polynomial
58:12 Value of a polynomial is determined by substituting the variable.
1:00:28 Solving polynomial equations and finding values.
1:04:35 Understanding the concept of zeroes of a polynomial
1:07:04 Understanding the concept of zero of a polynomial
1:11:05 Understanding the concept of finding roots and polynomial values.
1:13:30 Finding the value of k when x = 4/3 is a root of a polynomial.
1:18:33 Reminder theorem for polynomial division
1:20:41 Understanding the Reminder Theorem
1:24:45 Understanding factors of polynomials and their significance
1:26:55 Factor theorem explains what values make a given polynomial equal to zero.
1:32:40 Finding the value of k and p in a polynomial equation.
1:35:12 Finding the second equation from given values
1:39:29 The video covers polynomial factorization and factor theorem
1:41:14 Factors of a polynomial can be found using the middle term splitting method.
1:45:18 Factoring polynomials to find zeros in 1 shot
1:47:29 Understanding zero properties and middle term splitting method
1:51:38 Factoring polynomial expressions with common factors
1:53:30 Factorization of cubic polynomials using the factor theorem
1:57:37 Understanding and evaluating polynomial values for different variables
1:59:50 Explaining factor theorem and finding factors for polynomials
2:04:28 The video covers polynomial factorization using middle term splitting method.
2:06:33 Factorization and Algebraic Identities
2:11:05 Solving polynomial equations using mid-term splitting method.
2:13:14 Solving polynomials in two variables
2:17:36 Polynomials factorization using the difference of squares
2:19:47 Polynomials and factorization are covered in the video
thik hai bhai
Thnx homie 🗿
padhleta bhai isse acha
Thank you bro
Thanks alot bhai ❤
Why is no one appreciating kamal sir's efforts??
😢
😢😢
Exactly that's what I'm saying In each vedio
🎉❤
Love for kamal sir🎉🎉🎉😊
Exam ke ek din pehle padhne wale like karo😂
Exam se 2 ghnte phle 🙂🙂
@@JahnviJahnvi-i9g Haan mai bhi, bulki dai gante phle
😨😓
Kl exam h 😢😢😢
Sir ke baal = sir ki jaan😂
Bhot saf dhaka ka Kam h bro
BHAI SAHI BHOL RAGA HAI🎉❤
I want ritik sir for maths because kamal sir bahot bal banate hai....... 😂😂
Jo agree like kro
👍
Same
Baat to sahi hai😂😂
Dekho kisi k baare mein aisa maat kaho ... Yeah sir bhi accha padhate hain.... Aisa kyun ho tum log? 🥲🙂
@@sundardas7494Gyan ki devi
Kamal sir is giving his best to make the lecture interesting. Thank you so much sir I would like to study rest of the chapters from from you and don't listen to those who doesn't want u to teach. Just remember you are best teacher in your own way ❤👍
Who want ritik sir in class 9 😢😢❤😢😢
I want
Everyone wants
No one
I want
I want
Who all r watching this after 8th final exams between holiday😅😅
Me...😅😂
Me 😂😂😂😂😂😂😂
mai bhi huuuu....
Me
Me
We want ritik sir plz physics wala ❤❤ 4:21
Ritik sirr want ritik sir plzzzz vote for ritick sir 😢😢😢😢😢😢😢😢😢😢
❤❤
Sahi hai yaar but we can't troll Kamal sir
Ritik sir ❤❤❤❤❤❤❤❤😢
We want ritik sir ❤
Yes bro
Who had just passed the class 8 and came into class 9 so good luck for this year ❤😊
Kon kon ritik sir ko miss ker rhe hai vo like kro 👍👍👍👍
Ma kar raha hu
Mai kr rha hu 😢❤❤
Bhai 2024 neev batch me voh kufh padha rahe he
Unhone pw leave nahi kiya bas 9th ka ise timeline me koi UA-cam video nahi dala
Ritik sir jaise koi nhi hai really miss him 😞😞
We want ritik sir for mathematics
Who s we bitch 🧚😍
Yess
Yes😅😅😅
yes
Yes
1 like = 1 mark in exam
Nhi karne par -100
Hattt
Bhai tere ko like karwane ma kya mil raha ha😂😂
Hatt😂
Par tune kyu like kiya?!
@@ayushpandey4206 😂
I miss Ritik sir (because of him i passed 8th grade)
Same here bro
But we will see him on 10th ❤❤❤❤❤❤😢
We have to wait for 1 year
@@FZeditzog yes bro
Same yrr😢
Who are watching it in 2024😂😂😂
Me
😂😂😂😂😂
Me
Bro video bhi 2024 mai hi aai hai, Ha kids 🙄
Bhi video 2024 me hi ha andhe
@@rehankhan7878-c3y bat to shi hai
I am watching it because tomorrow is my exam 😂😂
Same 😢
Same not 😂
Here is the solution:
1:38:33
Given, the polynomial is px² + 5x + r
x - 2 and x - 1/2 are factors of the polynomial.
We have to show that p = r.
Let f(x) = px² + 5x + r
Now, g(x) = x - 2
g(x) = 0
x - 2 = 0
x = 2
Put x = 2 in p(x),
p(2) = p(2)² + 5(2) + r
= 4p + 10 + r
At x = 2, p(x) = 0
So, 4p + 10 + r = 0 --------------- (1)
Now, h(x) = x - 1/2
Put x = 1/2 in p(x),
p(1/2) = p(1/2)² + 5(1/2) + r
= p/4 + 5/2 + r
= (p + 2(5) + 4r)/4
= (p + 10 + 4r)/4
At x = 1/2, p(x) = 0
(p + 10 + 4r)/4 = 0
p + 10 + 4r = 0 ------------- (2)
On comparing (1) and (2),
4p + 10 + r = p + 10 + 4r
By grouping,
4p - p + 10 - 10 = 4r - r
3p = 3r
p = r
Therefore, it is proved that p = r
Kon kon 95% Lana chahta hai in class 9th 👍
me
95 percentage nahi 99 lane hai
Bhai 101% se kam me nhi chalta aaj kal
@@sakshamrajput2012😮😂
Gaan_ Fadu taiyari kar ni hogi😅
35:28
2nd : 9-12+x^3
-3+x^2×x^1
From this can I say that x^2 coefficient is 1?
Like if you all are watching before exams 😂😂 and all the best for your exam 😊😊
Sir ke left hand side mirror lga hh👍
Ha lagta hai
1:39:28 sir we can do this also
By comparing them as
4p+10+r = p+10+4r
4p-p+10-10 = 4r-r
3p = 3r
LHS = RHS
Yess.....u are right
I have also tried
Yes same answer
All teachers gives his best we also should to give our best 😊
Who are watching in summer vaction 😂
Me ✋🏻😌
Me
Me😂
Me😂
Me
H.W. QUESTION No.10 answer -- 210
yes
Yes
Ye sir log keh to dete hai ki kuch samajh nahi aaye to comment karna ham phir samjha denge par koi teacher esa nahi karta mene bahut saare doubts puchhe hai inke comments mein par koi jawab nahi deta 😡😡😡😡
Right bro
Red heart for Rithik sir ❤
White heart for Kamal sir 🤍
VOTE NOW 👇🏻 Let's see who will win this race😊
Kon kon 8th class ke baad exam khatam ho jane ke bad holiday me or 1chapter khatam karne ke bad dhek raha he .... Like karu comment ka reply dugo tu tumhare reply ko like milega
Ha yarrr mere comment ko like karo
Ha yarrr mere comment ko like karo
Ha me also bro 😂
Mai bhi
Ma bhai
Ye Wale sir thik he padhate h ...😔☹️😓
Rithik sir was so awesome teacher...🥰🥰😇
Thank you very much sir, you are much better than my school teacher!!!😌
1:00:58 Sir it is necessary to put the value -x+3 on p(-x) why it isn't p(-x) = x-3 ????????
No
But Why???
Congrats our channel is restarted . Subscribe and enjoy .
By .otivation .
Videos are coming soon......
my exam is today and its morning right now.. just started studying 😢
Same
Sir teaching is op but hairstyle is super op |
in one video sir set his hair more the 50 times 😅😅views reply and hit a like
👇👇👇👇👇👇👇👇👇👇
56:11
56:56
58:57 😅
1:03:36
1:03:55
I thibk sirs attachment is more for hair than the maths in whole video sir touched more then 61 +++ rime 😮😮😮😮😮😮😮😮😂😂😂😂😂😂😂
"Think
Kon kon ye video 2x pe dekh raha h
Hi
Me 😅
Hum toh 1x mein dekhta hun kyunki samay bahut hai 😎😎
Everyone
Me nahi
Sir 51:21 par jo variables on the basis of degree ma degree agar 4,5,6...... Ho to phor
Sir please leave 🙏🏻🙏🏻 yeh me ees liye kah Raha hu kyoki AAP ke questions me pahle krta hun fir answers dekhta hun lekin aapne ye Jo question 1:38:26 PR Jo question hai us question ne mera pure dimag ka dahi kr Diya thha aapse samjhke uprse aapne eeska dhang se solution bhee nahi karaya 😏😏
😠😠😠😡😡😡
4:10 mujhe toh laga ki sir bolenge ki kya pata tumhare teacher tumhara kaat de😂😂😂😂😂😂
1:50:29 jisne h.w kiya wo like kare
why is there is so much hate for kk sir,in my opinion he is the one of the best teacher I have seen in my entire life ❤heart for u kamal koushik sir .👍🏻
Kon kon 1st chapter katam kar diye after 8th final exam
😅
😎
😂😂
Here
Hiiiii
👇From Assam one like Banta he yaar🏞️♥️
Bhai kyu bnta hai aise to sab log bolenge ki hum alag neighborhood country se aye hai to hume 10 rs sare paytm kardo 😂😂
Babuaas sir op😂😂😂❤❤❤❤❤🎉🎉 i Miss you babuaas (ritik sir)😢😢😢😢😢😢😢please return please 🥺🥺🥺🥺
1:36:16 sir r ki value 2r nahi 4r ayegi
bata diya hai pehle hi
@@bruhlost7196 achhha mijhe toh pta hi nhi tha thanku btane ke liye
@@LaxmiLaxmi-cy6sq pata karle bhai
@@bruhlost7196 o yrr pta h mujhe faltu hi bolne ko mila h kya tujhe
@@LaxmiLaxmi-cy6sq arey bhai maine toh kaha pata karle isme faltu kya hai?
Who are watching before 1 day of exam 😂😅😅😅
😂
1:11:09 half of video 🎉🎉🎉🎉
Ritik sir mind....... Bhai sahi padha rahu h ye bhi mein kyun aun parr aunga ❤❤❤❤❤😅😅😅
In ques 18 we can also solve it by tha grouping method
Everything is temporary but video ke bich mei baal banana is permanent
Sir
1:36:14 time mei aap jo *2r* liye hai woh LCM mei *4* aa raha hai toh woh *r* ka value LCM ke saath *4r* ho jayega 2r nahi
Good video Sir 💯💯💯🎉❤❤❤
kon kon class 8th ke exam khatam hune ke bad holiday me ye video dhek raha he like laru or replay.
same
same😊
Like a beggar 😒
No
Fire 🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥
Who is watching just the day before exams 😂😂
Mee
What's a wonderful teaching method
missing Ritik sir.................
Me tooo......😢
meeeeeeeeeeeeeeeeeeeeeeeeeeeeecube
2024 wale attendence laga ker jaye
Hello bhai😂😂
Hello Bhai 2024
Brain rot comments
2:03:36 best Expression ❤❤😊😊
Acha copy pen ke bina kon kon lecture attend kar raha hai apni attendance lagwai
1:45:10 sir why can't we use 6-1 bcuz 6*1=6 and 6-1 =5
Sir question no.18 me p+10+2r/4=0 but 2r kaha se aaya
Ye sir ke bich bich m baloon ko sehlana is destroy all focus ❤️🩹🥲
😂👍yupp
Your English also destroyed grammer
Kuch bhi
kuch bhi nahi kuch bhi
❤❤❤❤
1:56:59 sir why did you take x=1?
Best teacher hai sir
Sar question number 9 samajh nahin aa Raha
We want ritik sir 😢
S
Then why are you watching this
Is this good for jee foundation
This teacher explained is excellent ❤❤❤
It can be this to , this teacher explained very well
2:13:10
is the answer of (ii) (2y-1) (2y-1)
ultimately,
(2y-1)^2
tell me if my answer is correct or not?
Yeah mine also
4y^2-4y+1
You explains like our friend not a teacher 😊😊😊
Thank you sir helpful lectures 😊😊
Sir questions 18 me gadbad thi usme (p+10-2r) /4=0 me 2r nahi 4r hona chahiye
1:36:20
Sir ne thik kar diya 😅😅🙂
Kamal sir is also teaching best 👍💯❤
Thankyou so much sir
Kon kon Assam ka hai .....😮😢 May to bengali medium may parthi hoo...👆 Lakin koi bat nahi mugha sob atha hai...
My favorite part 17:10 to 17:15 😂❤
Sir aapke vajah se mujhe math asaan lagne laga hai 😊😊😊😊😊
Thanks sir
Nice explanation sir.. thank u ✨🙏🏻
But sir degree of polynomial ma greater power like 7 bar bar i mean do bar aae to vo bhi dono degree of polynomial ma aate hai
Sir if we have only variable such as x2 so x will be the coefficient will be coffecienent
Math❌ FAIL KARNA WALA SUB✅
Sir apne bola ki multiply ya divide ho to vo single term hoga
To agar
7xsquare *5xcube /9xsquare + 8
To sir isme kitna term hoga
2
19:06
Question 21 answer
1=(x+7)(x+8)
2=(x+5)(x+8) 1:50:20
Kis kis ko laga ki humare phone ki volume kam hai aur phle apne phone ki check ki 😂😂😂
But actually there is no audio😅😅
Hai toh ....😢
Very thing is temporary but kamal sir's (THEEK HAI) is permanent 😂
You are a great teacher thank you sir l can good macs
*Zero is neither positive nor negative. So how it becomes Non negative Integer
I need explanation 11:46*
...Read more
Thank you sir pw is always helpful for us doesn't mind who is teaching
Class 10 Maths Chapter Chapter 7 exercise 7.1 solution of each question -ua-cam.com/video/oKTHtyTli-o/v-deo.html
😊🎉ritik❤Sigma 🎉😊
My doubt is on 1:05 where if we multiply with 0 from any no. Whole term becomes 0.
The way you teach is just osm 😊 thank you sir always thankful to you for such an easy explanation ❤
Hii
Sir ka name batado plz😢🙏
@@easiralamin3170 Sir's name is Kamal Kaushik
@@sanchichilkoti thanks mere bhai
54:56 @@easiralamin3170
Sit answer of Question no 18 is p=r=-2 1:39:31
He accidentally write 4r
I am watch video and this video is very good i like you sir
🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥 5:15
Sir you don't have a vibe like ritik sir
Yes u r write
We want our ritik sir back