This video teaches how to factorize quadratic polynomials of the form ax² + bx + c by finding two numbers that multiply to give ac and add to give b, then splitting the middle term and grouping to find the roots. The instructor demonstrates this method through multiple examples including x² - 2x - 8, 4s² - 4s + 1, 6x² - 7x - 3, and 3x² - x - 4, showing how to solve quadratic equations by factorization and finding their roots.
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Prerequisite Knowledge
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Deep Dive
🛑Live Class // Class10 Maths Ch2 Polynomials Ex 2.2// SEBAAdded:
Okay, mother.
Namaskar.
Sound to clear.
sound clear.
Okay.
Okay.
Hi. Okay.
Second, exercise 2.2 Okay.
Key points important.
So highest power.
description.
Okay.
A x² + b x + c.
uh lighter problem this.
Okay.
A not= a square.
Okay.
A not equal zero. Okay. Next.
PX PX to Y= Y= PX Y.
Okay.
Okay.
A x² + b x + c by a c by ach.
Okay.
B A C by A.
So next next topic.
Okay.
Okay.
8 9 7 8 9 Okay.
Okay.
12 x 12.
12.
Okay.
Okay.
into three.
Next 8 2 4 2.
So it means A2.
Next. A2.
Okay.
brackets start brackets. So 3x 3x loading. We go problem.
Okay.
So okay.
Okay.
for x² - 2x - 8.
Okay.
Px.
Okay.
Okay.
Okay. 1 into Okay.
2.
Okay.
Next.
Next.
Okay.
Okay.
X²us.
So - 4us plus 2xus.
Okay.cess Okay.
X² mean X into XUS 2 into 2 into X. Okay. Next 2 into X. Next.
Okay.
bracket start. So brackets close.
Sorry.
Okay. Next.
Do we Okay.
So x + 2. Okay.
Okay.
Okay.
PX zod.
So px.
So x - 4 = 0 by x + 2 = 0. Okay.
4 x= 2. Okay.
dutus 2 4us okay.
Okay.
Okay.
Okay. The punk or the car.
Okay.
Okay.
Good. Next. Next.
window.
Window Z.
US by A window C by A C by A.
Okay.
by US.
Next a x² + b x + c.
Okay.
Okay.
Say - 8. Okay. Minus 8. Okay.
Okay.
- 2 - 2 sorry plus alpha plus beta minus b by A minus Bus 1. So answer by a minus okay value so - one by table. Next window A. So C means by one. So okay.
MCQ. for one, two, three, Okay. Next.
Okay.
Next.
Okay.
Next. Next question.
Zonabara say next proh.
Next 4 S² - 4 S + 1 of S 4 S² - 4 S + 1 Okay, Okay.
So 2 + 2 + s + 1. Okay. 4 s².
Okay.
So 22us.
Okay. Next one.
Okay.
2 into 2 s 2.
Okay. minus 2 s + one.
Okay.
Okay.
Sus. Okay.
Okay.
2 S - 1 = 0. So 2 S = 1 S= 1 by 2.
2 s - 1 = 0. So 2 s= So s= 1 by 2.
1 by 2 1 by 2. Okay. So we go. Okay.
Next. Next. Next.
Fight number two. Number two.
One is God. Yes.
Yes. Yes.
Good night to sorry Bus Cus So 1 by 2 1 by 2. So 1 by 2 + 1 by 2.
Okay. So 1 by 2 1 by 2 plus 1 + 1 so 2 by 2 so 1 by four.
direct. Okay.
AUS.
Okay.
Okay.
Next.
So 1x 2 into 1 by 2. So 1x4 into C by A. Okay. C by A. Okay. A2 next number two.
Okay.
X 6 - 7 X Ministry.
Okay.
6 x² 9 - 2 x - 3 x + 2xus 3x 2x - 3 1. Okay. So, 2x - 3 3x + 1. So, Z 2x - 3 = 0 by 3x + 1 = 0. So 2x - 3. So x = 3x 2 3x = -1.
Okay.
Next second.
Okay.
I am new subscriber. Good.
That's a plus.
Okay.
Al + beta Ala plus beta + gamma= minus b by plus auss.
Okay, sir.
Everybody see that?
Phone number two. Phone number.
So P So, P U sorry 4 U² + 8 U already.
So, We are talking about we are talking about two pu z= a2 part a part okay by u + 2= 0. So= 0 that means okay minus Second.
Second part.
Okay. Second part.
Okay. Thank you.
Next.
Okay.
Okay.
So pt okay t² minus So a condition a square - b square a + b a minus Three.
A square t.
Next.
Okay.
15 square.
Okay.
PT Z T +<unk> 15= 0 by T - <unk>5= 0. Okay. So t=<unk> 15 by t= roo<unk> 15. So whole minus roo<unk> 15 + roo<unk> 15. Okay, sir.
School 3.1.
Okay.
More 15 days.
Okay.
Okay.
Next.
Next.
Next. Okay.
Okay. Namaskar.
Okay.
Yeah.
Okay. Next.
Next.
Okay.
Okay.
What about Okay.
Okay. part. Okay.
square.
So zero. Okay. Next C means minus 15. So C= 15.
Okay.
15 plus roo<unk> 15. So 0 1 0 by 1 that means 0 by a. Okay. Next window.
Okay. Sous roo<unk>5 into plus roo<unk>5 into roo<unk> 15us that mean same same okay by Okay.
Daily Okay.
Okay. So, okay. Next.
Next.
3x² - x - 4. So, 3 into 12 3 into 4 into 6 3 into only 1 - 3.
So 4 - 3 x - 4 3 x² - 4x + 3x - 4. Okay.
Okay.
3x - 4 x + 1. Okay.
Z 3x - 4 = 0 by x + 1 = 0. So 3x = 4. So x = 4 by 3.
Okay.
Good.
Okay.
Okay. Next.
Okay.
1 into 12. Next 2 into 6 and 3 into 4.
So 3 + 4 4 + 3.
Okay. 4 + 3 x + 12. So x² + 4 x + 3 x + 12. So, x + 4 x + 4 x + 3 3.
So, px = z x + 4 = 0 by x + 3 = 0.
Okay. So x= x= 3.
Thank you.
Okay. Next.
So, px² - 4x + 3.
So, 1 3 + 1 x + 3. So, x² - 3 x - x + 3. So x 3x 1 i.
Okay.
x - 3 = online next.
Okay.
homework.
Okay.
So 7 1 into 7. Okay. So 7 - 1 x - 7. So x² - 7 x + 1 x - 7. So x - 7 + 1 x - 7. So x - 7 x + 1. So I take px z x - 7 = 0 by x + 1 = 0 x = 7 x= -1 Okay.
Okay. for next.
Okay. Next advanc So next.
Okay. So 2 into 14. So 1 into 14 into 7. Okay.
7 - 2= 5. So 7 - 2 x a 2. So 2 x² 7 x + 2 x Okay.
Already A2 plus A2 Okay.
Next.
So, 2x = 7.
x= x = 7 by 2. So next 12.
Okay. Number nine.
Yeah.
X 12.
Okay.
Okay.
slide.
detaine.
Okay.
10.
P X K X² - alpha + beta X plus alpha beta Z.
So, bottom slide.
key. D say got Okay.
Okay.
Alpha plus 1 by 4.
Say pur alpha beta=us.
Okay.
Okay.
PX = K into X² - alpha + beta X plus alpha beta.
Okay.
Okay.
X 1 by 4 XUS.
Okay. Clear.
That's sir.
No sound.
Okay.
Okay. Second plus 1x4.
Nextus.
Okay, next.
square 1x 1x 4 to answer. Okay.
Second.
Second.
second.
Okay.
Okay.
Consistency consistenc for self.
Okay.
Okay.
Class 929.
Okay.
Next. Next question.
foreign.
Okay.
Alpha beta 1. Okay.
PX k into x² - beta x plus okay.
So x²us roo<unk>2. So roo<unk>2<unk>2 x Speech.
Speech. Speech.
Okay.
Okay.
Okay. Next.
Okay.
Say to px kx² - alpha + beta x + alpha beta. Okay.
Okay.
So ket 0 into x<unk> 5.
English first lesson English.
Okay.
Next one. Next.
x² - x.
So k x² + beta 1 x.
Okay.
Next.
Uh hello sir. I am Human psychology daily.
foreign.
Okay.
Okay.
Say also x² - alpha + beta x + alpha beta. Okay.
K.
Okay. So, k X² + 1.
Okay.us.
Okay.
Okay.
Okay.
Good.
Okay.
All clear. Okay. Thank you.
foreign.
Okay.
Chromicus beta 3. Okay.
Alus 3 by 2 foreign.
Okay.
Okay. Next Q - 4 into 3 by 2 Botto e x comma k x² - alpha + beta x plus alpha beta. Okay.
Same.
Okay.
Okay.
X² + - 5 by 2 - 12 by 2. Okay.
A - 2x + 2x²= 5= 12.
Okay.
I am from Bongay district. Okay.
Okay, thank you. Next. Next.
5 + 2 alpha beta 5 into 2. So Next. MCQ. Next.
Okay.
Okay.
Okay.
Okay.
online.
Okay.
1 by 3.
Okay.
Okay.
Next.
No doubts are good. Yeah, good. Good.
Okay.
Bye-bye. Good night.
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