POLYNOMIALS - Most Important Questions || Class-10th

[@SumanRana-zp9oo]

In question 8 we can also do this:- x²-5x+k α-β=1 α=1+β α+β=-(-5)/1 1+β+β=5 1+2β=5 2β=4 β=2 α=1+β α=1+2 α=3 α×β=κ 3×2=κ 6=κ.

[@AyushSingh-ey6gn]

Thanks bro Very useful

[@Glucotrose]

God bless you

[@Extra_ordinaryMind]

Sorry to say qus 8 is in very complex way we can write it as follow We have alpha- bita = 1 And alpha+ bita=5 On comparin bot eqn we got Alpha+bita=5 (+) Alpha- bita=1 +. - So 2alpha= 6 Alpha= 3 Substitute the value of alpha in any of eqn As a+b= 5 3+ b= 5 B= 2. Haha K = a*b 2x3 =6

[@artigupta9586]

Q8 can be solved more easily Alpha+bera=5 Alpha-bera=1 Both equation add karne par 2alpha=6 Alpha=3 Then beta=5-alpha=2 Alpha×beta=k=3×2=6

[@NirajYadav-cz3gt]

I WISH EVERYONE GET 95 PERCENT IN BOARD EXAM.🥰 EDIT : HUM NHI SOCHE THE ITNA LIKE MILE GA.. THANKX TO ALL.. BROSENA.😍❤✌🌹

[@divyanshchaudhary47]

Pahle khud lakar dikhao phir wish karna😁

[@NirajYadav-cz3gt]

@@divyanshchaudhary47 bhai mujhe lane se aap to khus nhi na ho ge....mai sab ke liye wise kare rahe hai

[@op_meraj_ff]

95 ke upar hi ana chaiye

[@ketan__das]

Thank u

[@nikhilrajput9247]

Thanks bro

[@Hritikaoberoi.21]

35:10 easier solution of question 8 is: a-b=1 (given) --- eq. 1 a+b= -b/a = 5 so a+b=5----eq.2 Eliminating 1 and 2: a-b=1 a+b=5 :a=3.... putting value of a in eq.2 we get b=2 c=k and ab=c So k=ab=3*2=6 so k=6 Ans. Here a and b are alpha and beta

[@Pankajkumar-pu3yx]

So easy trick😊

[@Daya1511]

38:21 बाहर वाले... सर 🥺🥺👀👀हम क्या आपके अपने नहीं हैं?..

[@pixieedust777]

For the students who didn't understand the question no.2 properly or have doubts here I've an easy solution. Hope it helps~ Q2. Find the zeroes of the polynomial x²-3x-m(m+3). => x²-3x-m²-3m = 0 => x²-m²-3x-3m = 0 [using identity a²-b² = (a+b) (a-b)] => (x+m) (x-m)-3(x+m) =0 => (x+m)[x-m-3] =0 => x+m =0, x-m-3 =0 => x=-m , x=m+3 are the zeroes of the polynomial.

[@divyanshsinha6621]

Thankaaaa ❤️

[@ashnarayanram45]

धन्यवाद

[@-aaryaagrawal2658]

Tysm 😊

[@Gonzalez66-l1n]

THANKS😃

[@nasibsinghminhas6056]

Thankyou that help a lottt!!

[@aneeb6269]

35:00 Given a - b =1 {eq1} It can be seen that a + b (-b/a) = 5 {eq2} Subtract eq1 from eq2 2b = 4 Therefore b = 2 , so a = 3 C/a = k = a × b = 3× 2 =6

[@charlesra638]

Hhh

[@charlesra638]

Sab faltu likhata hai or main poin per kisi ko dyan hi nahi jata

[@ontop-cl7sp]

Same

[@CreativeMe2006]

Yes, I also solve this question this way 😂😂😂😂😂 and i konw this way is also right 👍👍👍👍

[@kherayttuitions4618]

Guruji Q. - 8 ese bhi solve kar sakte hai jo kafi easy hai :- x2 - 5x + k Sum of zeros = 5 Product of zeros = k α - β = 1 ∴ α = 1 + β ∴ As we know = α + β = 5 = 1 + β + β = 5 = 2β = 4 = β = 2 ∴ As we know α - β = 1 = α - 2 = 1 = α = 3 Product = αβ = k = 3 × 2 = 6

[@artandcraft4046]

Very very very very very thank you so much🙏🏻👍👍👍🤗🤗😃😊😀😄

[@kherayttuitions4618]

@@artandcraft4046 WELCOME 🤗🤗

[@aareyouhowareyou9990]

Thanks a lot

[@_S_S]

Next chapter - Pair of linear equation in two variables

[@shauryarajan3800]

Kab aaigi??

[@Class10MathsChapter]

@@shauryarajan3800 soon

[@Class10MathsChapter]

Yes

[@chandanbalajain6025]

Sir sare chapter ka bata do

[@viral12290]

@@Class10MathsChapter wah bro 🤣

[@satyabrattripathi9551]

In question 8 a-b=1 a+b=5 By equating we get a=3 b=2 Then a×b=c÷a=6ans

[@NikhilYadav-do3gt]

Thank you sir ❤️ All concepts clear 😍 Continue this series.. With rapid as our exams are approaching . 🙏

[@ishu-fm1pr]

Yes sir

[@PJayTechnochannel]

tum 10 me ho

[@harshvardhanrajpurohit4524]

should continue the series for all chapters it is more helpful than anything and the way sir make us revise the concept and introduce new !!!!!!!!

[@devanshchauhan03]

Sir please upload more videos like that 🙏❤️

[@jaatmoviehub4198]

Sir question no. 8 ka alternate method bhi ho sakta hai na . Ex. Alpha - bita =1 Alpha =1 + bita ------- eq.1st Now , Alpha + bita = 5/1 (From eq. 1st ) 1 +bita +bita =5 2 bita = 4 Bita = 2 (put in eq. 1st ) Alpha = 1+2 = 3 . Now put the value of alpha and bita in -- Alpha ×bita = c/a And hence value of k = 6

[@gamerarmy8381]

I wise EveryBody Get 100 mark in MATHS ❤💖

[@Anshika0738]

wish not wise*

[@looneyahh]

@@Anshika0738 nerd 🤓

[@shashank5023]

@@looneyahh 😂

[@aneeb6269]

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[@looneyahh]

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[@Kavya.2r]

Sir your most important questions series is too much helpful for me I don't know about others ☺️ it's soo fantastic 😜 thankyou so much .❤️❤️❤️❤️❤️ PW is very good.this video let me to comment onces again thanks sir . please bring all subjects important questions ❤️❤️❤️❤️

[@v.cartworks5819]

these sesssion was amazing....💖💖 Sir please upload more videos like that 🙏 for other lessons plzzz...🙏🙏

[@animefunhouse7460]

For the 8 question , you can just use substitution method, alpha plus beta is 5 , minus alpha minus beta is 1 , u get the same answer .

[@sanjanasingh3421]

Yes

[@ZeusAyush]

Yeah but Sir didn't covered ch 3 so for the students who didn't revised ch 3 so he didn't solve by substitution method

[@rajmalarana4936]

Sorry to say but aapane beta likh Rakha hai 😂😅

[@Dhruv_Sikarwar]

The way of teaching and explaining each question is appreciable🙏 Jai Shree Ramji ki🙏

[@yuval_sharma45]

For Q8, you can also do it with elimination method

[@gayatriprajapati5154]

In question no 8 do this - X²-5x+k Alpha-bita=1 Alpha+bita=5 2Alpha=6 Alpha=3 Put in eq 1 Bita=2 Alpha*bita=k 3*2=k K=6

[@Recovergamer-1]

Thankyou so much sanyam sir🔥🔥🔥and continue to all the chapter of mathematics with most important questions.thanks,thanks, thanks

[@avelite6101]

Guru ji ap ho to kya Darna😉❤️❤️❤️❤️

[@SatoruGojo-v1c]

2024 - 2025 attendance 😅😅

[@everyone99999]

10:07 easiest solution x2 - 3x - m (m+3) x2 - 3x -m2 - 3m = 0 x2 -m2 - 3x -3m = 0 using algebraic identity : a2 - b2 = (a+b)(a-b) (x+m)(x-m) -3(x+m) = 0 (x+m)(x-m-3) = 0 x + m = 0 x = -m x-m-3 = 0 x = m+3 zeroes are -m, m+3

[@sapanapujari8189]

Thank you sir for providing most important questions I was so weak in maths I was thinking that I can't do my sir was always scold me for my solution but when I saw your channel I got confidence that I can do maths I know that no one will read this message but I got the benefits from this channel thank you so much

[@Allinonecom]

35:12 ans..8...... Alpha - beeta =1 Then Alpha =beeta Plus 1 Put in Alpha plus beeta equal 5 Then , Alpha is 3 and beeta is 2

[@velocxty2477]

ABSOLUTELY IMPECCABLE practice session sir!😃👍💪⚡️

[@TechlorGaming]

Bhai last question mai -p kaise ho gaya

[@vibhagoyal147]

In 8 th there is a short way to do it Firstly, The sum of zeros = -b/a So, alpha + beta = -(-5)/1 =5. 1st eq Given alpha + beta = 1. 2nd eq. Add 1 and 2 2*Alpha =6 Then, Alpha = 3 Put in equation 2nd Then, beta= 2 Product of zeros = c/a =K Alpha. *. Beta =. 2*3 =6

[@_____69_____omg_____]

That's it was really helpful , do you know any trick for trigonometry?

[@vibhagoyal147]

@@_____69_____omg_____ yes

[@_____69_____omg_____]

@@vibhagoyal147 can you tell me please , tommorow is my exam..

[@_____69_____omg_____]

@@vibhagoyal147 I don't know , how to start proving

[@shreyanshgoel9158]

U have written Alpha +!beta -Given but it is Alpha + beta

[@manuchaudhary6658]

Yes sir, please continue this series 💖💖

[@jayramkumaryadav7248]

Sir jii,,,,,,,macha Diya ,,,,,,all /all correct 🌹🌹🌹🌹🌹 Because,,,i am a udannian,,,,,,,1.0,,,,,🌱

[@Yash....6013]

Thanks a lot sir.... ❤ Aapki is video ne meri bht help ki... 😅

[@abc._.855]

🌚

[@Mr.Light001]

In question number 8 we can easily solve it by solving pair of linear equations in two variables

[@SaritaKumari-gl5bi]

Sir this year was great studying with you You taught all the concepts with clarity ✨ Gonna miss you in 11th Thanks 😊

[@singingshadow2446]

Sarita cn uh support me?👉🏼👈🏼on 21st of march i m going to realse a song named as Boards Ft. Memories ❤🥂i will realease it on this account.... Will uh.???

[@YahiMootDunga]

Abhi pass to hojane do kahi firse sir se padhne ko mile😂😂😂

[@yuisan2998]

Q 2 Can be solved by the formula P(x) = K[ x²-(a+b)x + ab]

[@ArunKumar-ks7wv]

Sir question number 8 me to sidha alpha =1+Beta put krege aur answer aaega 🙂sanyam sir ke student h unse concept lekr khud ka tarika bnate h🙂

[@vandanarai9924]

9:20 to 12:37 that is impressive words. For solving the question 😊

[@tanvichaudhary1472]

sir question number 8 mein given tha Alpha - beta =1 and alpha + beta humne nikala 5 to ham elimination method se Alpha aur beta ki value Nikal ke Alpha * beta karke (k) ki value find kar sakte hai ye jyada easy padega

[@nishitamaan9889]

SIR SESSION WAS AMAZING PLEASE CAN YOU BRING STRATERGY VIDEOS ON HOW TO REVISE AFTER PREBOARDS

[@vivekchaprana22]

Sir questions 10 m k legana jaruri h kya formula k agga

[@sujal2299]

Sir Pair of linear equations in two variables next.

[@Randomstuff-um8nz]

"Samay bachega agar tu soch pata hai to" Me:🕚👋 12:28

[@arti0126]

Sir please make us practice some more questions in coming videos 🥺 we have pre board from 7th jan

[@Sauhit....]

Please sister don't play ff at that time🥲🥲

[@arti0126]

@@Sauhit.... bro..I deleted it😓

[@nationmatters919]

Book kharid lo

[@anujpiliana8537]

My preboard starting from 12th December my first exam is science In finally board exams pre board marks are including🤔🤔🤔

[@arti0126]

@@relatableenough4175 hai..but sir se padha hua kabhi nhi bhulti isliye

[@rockstaryt5727]

Sir questions are very easy 😊😊😊 because

[@PranavHG]

Sir,In the question no.8 can we eliminate the equation? Like alpha-beta=1 alpha+beta=5 Where alpha = 3 and beta =2 then alpha.beta=6 which is nothing but the *K*

[@lalbhadursunar2296]

Ye log jawab nhi dete kbhi

[@NaivedhyaSaraf]

thats what i did

[@itsdaxHT3NTHPOT]

Bro you can apply elimination everywhere in maths Even in the questions of the chapters that are earlier than linear equations in two variables.

[@Ujwlvrma]

Your teaching method is very very nice 😊😊🎉

[@milapchand6654]

Sir question 8 we can apply elimination method alpha + beta =5 and alpha - beta =1 ???

[@suvanravirai7961]

best maths teacher in world

[@Sarthak_verma_6543]

2023-2024 batch students like thoko 🎉🎉

[@officialgyanpoint01]

diss dedu

[@khusi_74]

Here here 😂😂😂

[@rajpareek3455]

Great job boss maza hi agaya tumhara vidio dekh ke salute boss🎉🎉❤

[@asimalvi5740]

Sanyam sir Trigonometry pls😀

[@shikhadixit9265]

Find a quadratic polynomial, the sum and product of whose zeroes are root2 and -3/2 respectively. Also, Find it's zeroes

[@tanvichaudhary1472]

Quadratic equations= 2x² - 2√2 x - 3 = 0 Zeros of this quadratic equation are:- x=-1/√2 and. x=3/√2 If we rationalize these zeros then X= -√2/2 and. x=3√2/2

[@muthumari1519]

Sir I need a video on triangles, trignometry, heights and distance and surface areas and volumes. Thank you sir

[@yu-bh1iz]

35:17 α+β=5 lekar bhi kar sakte hain phir elimination sey α ki value nikal leyngey

[@chetanpratapsingh1635]

Thanks you very much sir and all our physics wallah family and all members

[@nagargamming8836]

SIR IN THE LAST SUM DONT YOU THINK FINDING MIDDLE TERM WILL BE MORE APPROPRIATE RATHER THAN FINDING ITSS SUM

[@Iamuzthakur9211]

Polynomial ke question me direct formula laga kar jo value aaye usko question me put karke answar sahi h ??? Kya aisa exam me kr skte h?😥...please tell me🙏🏻🙇🏻

[@rishuu1408]

I wish I got more than 95% in board 2024 and i wish that all students will also got marks as their choices ❤ becoz some want 100% and some 90 %% 🥰 And i am happy becoz you like my comment 💓

[@sandeepyadav9108]

Present Kon Kon 2024-25 mai here

[@successinveins_]

SIR YOUR FREQUENT BHOKALI IS JUST IMPROVING OUR CONFIDENCE LEVEL THANK YOU.....

[@lalbhadursunar2296]

Pagal h kya

[@successinveins_]

@@lalbhadursunar2296 glti se glt type ho gaya thaa merese

[@successinveins_]

btw i m kratika not pagal

[@sowmyab2338]

Thank you sir.loved your way of teaching❤

[@palakshree1070]

Sir please continue this series it was so helpful ✨

[@melman3397]

sir a similar video for surface area n volumes would be awesome

[@abhishek22922]

@Sweta Sharma cubic aur hai bhay

[@NehaNeha-nk1xn]

@@abhishek22922 no bro cbse ne delete kiye hai

[@ballincat458]

😭 my prelims are 10 days later , I wish to get 60/80 , I was satisfied after learning textbook but after seeing this important questions , I think I am gonna fail

[@satyabrattripathi9551]

In question no.5 easy method is to × 3 into 7 and then split 21y²-11y-2

[@queenx_shi]

Honestly speaking, he's one of the best maths teacher. ✨

[@HeetdJain]

By the way you typed it😂😂

[@pransu1579]

*the best !!

[@KhushbooKumari-kg7xz]

Yes he is best

[@SanjuSundar-r4p]

Nop i am not understand bro 😢

[@mahimakrishnapandey4575]

This session was so helpful sir 😊

[@unique...2677]

new batch.[ 2023 -24 ]..who teach maths always from our sanyam sir..... Attendance do...😅 And like also guys..🙃😇

[@AmanKumarMahato1]

😊 Sanyam badola sir jabse polynomial padhe hai aapse fan ho gaye hai aapke 🙏 please make more videos on more videos on class 10 chapters urgent 🙏

[@rajendraprasadgupta9961]

Next chapter- surface area and volume OR. cordinate geometry Thanku sir for this amazing informative video!

[@LeelaDevi-hx3qu]

Sir you are the best teacher 👍👍👍👍👌👌

[@nikhilkumar-hs6io]

Bhai agar tujhe samajh mein aya toh yeh bata ques 2 mein 2nd zero Jo sir ne nikala agar ham usse verify kre polynomial ke variable x mein put kre (m+3) toh answer zero kyo nhi aa rha ?? 9:22 pr hai Mera yeh doubt

[@RTVIDEOAVNISH1391]

You are a great explanation of maths questions and answers class 10 ❤ thnxx sir i wish you all happiness mahadev bless u 😍😍

[@abiparakal2006]

sanyam sir ap samjhaoge toh konsa baccha aisa rahega jisko samjh me nahi aye aisa kabhi ho hi nahi saktha hats off to u dear sanyam Not only sanyam sir but the whole team of PW are absolutely awesome and amazing.........................

[@thegamerking5264]

Watching before 3days of exam 2023 batch walo like krrrrrroooooo🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥❤️🔥🔥‼️‼️‼️⚠️⚠️⚠️⚠️⚠️⚠️

[@RammeharMalik-yi3kp]

1 day before exam .... bruhhhh ☠️💀

[@devmishra5452]

Thankyou sir for this wonderful lecture

[@_Virrapan_DakU]

Sir i think in ques 7 the answer is 2 not -2

[@lokendersingh1079]

Brilliant 😍 Thanks sir 👍 all imp. and concepts based questions at one place

[@Anuragff1717]

Thank you sir for this series ❤️❤️ And I am also waiting for next chapter 🤗🤗

[@shampabarman6743]

Sir you are amazing....👍👍👍👍🙏

[@allroundercomedy3838]

Sir aap bahut aacha smjhata ho aapka samjhana sa total concept clear ho jata hai thnxx...❤ sir...🎉

[@nikhilkumar-hs6io]

Bhai agar tujhe samajh mein aya toh yeh bata ques 2 mein 2nd zero Jo sir ne nikala agar ham usse verify kre polynomial ke variable x mein put kre (m+3) toh answer zero kyo nhi aa rha ?? 9:22 pr hai Mera yeh doubt

[@v.ssingh5177]

Thnx sir. Sir aap bahut aache hai aapke vajah se ch 3 me bahut aache se smjh aa gya

[@ankushyadav4627]

35:11 sir in this question can't we find value of any one zero that is alpha or beta by elimination method and then we can find value of K by putting that Value of alpha or beta in equation

[@Olivia_aria]

yess!!!! you are coreect... i did in same way too... its also correct

[@prudhvivlogger3633]

sir second question me zeros ko addition karenge tho hume -b/a matlab +3 ana hey par idar -3

[@stable123-]

Teachers like him are 💗

[@rekha190]

sir surface area par bhi video

[@Alifreefire6989]

Thanks sir for this series 🔥 ♥️

[@Extra_ordinaryMind]

Sorry to say qus 8 is in very complex way we can write it as follow We have alpha- bita = 1 And alpha+ bita=5 On comparin bot eqn we got Alpha+bita=5 (+) Alpha- bita=1 +. - So 2alpha= 6 Alpha= 3 Substitute the value of alpha in any of eqn As a+b= 5 3+ b= 5 B= 2. Haha K = a*b 2x3 =6

[@nayandeep7265]

SIR THIS SERIES IS BEST SERIES ON KZbin FOR MATHS THANKYOU SO MUCH SIR

[@ShrutiTamuli]

Thank you Sir ! Your videos are really so helpful to me

[@pratikdhakane4766]

Sir your explanation is best !!! I am very lucky to found you sir really i can understand everything now??

[@pratikdhakane4766]

Sorry for question mark :)

[@jahidsaifi7899]

Thank you sir 🎉

[@Study_with_vikram-u1s]

Question first alpha + bita se bana sakte h sir answer same aa raha h♥️

[@rohitnagwani6510]

sir please bring a video of this series on surface are and volume

[@aashifali8608]

Sir I done all the questions and all are correct👍🏻👍🏻 Thankyou 😊 sir

[@RajeshKumar-ip4ko]

Watching before 1 day before p.t 1😅

[@iffu3434]

Sir 8 no. Me ham kr sakte h , alpha- beta=1 , alpha+beta=5, equating 1 and 2 we get alpha=3 and beta =2 , K=alpha×beta , K=3×2 , K=6

[@shinchan7256]

Seriously itna Aram se samjh aa gya ,😂💗💗 thankyou so much sir

[@nikhilkumar-hs6io]

Bhai agar tujhe samajh mein aya toh yeh bata ques 2 mein 2nd zero Jo sir ne nikala agar ham usse verify kre polynomial ke variable x mein put kre (m+3) toh answer zero kyo nhi aa rha ?? 9:22 pr hai Mera yeh doubt

[@SatishKumar-uz8oi]

My favorite math teacher😌😌thanks so much sir ❤ May God bless you

[@devendraraj1339]

The 2nd question of the video had an unexpected answer

[@Lakshya16124]

Sir question 2 Mai p+ q=-3 liya hai vha (positive)3 Hoga by -b/a formula sa

[@RajeshYadav-fh1rj]

Exam time sab padho sab top Karo all the best to all