Exersice 2.2 Class 10 NCERT Solutions pdf with small and detailed answers

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Chapter 2- Polynomials Exercise Ex.2.2

here it is solution of question 1 

Chapter 2 - Polynomials Exercise Ex. 2.2

Solution 1

So, the zeroes of x² - 2x - 8 are 4 and -2.











Concept insight: The zero of a polynomial is that value of the variable which when substituted in the polynomial makes its value 0.

When a quadratic polynomial is equated to 0, then the values of the variable obtained are the zeroes of that polynomial. The relationship between the zeroes of a quadratic polynomial with its coefficients is very important. Also, while verifying the above relationships, be careful about the signs of the coefficients

 

Chapter 2- Polynomials Exercise Ex.2.2

here it is solution of question 2

Solution 2

(i)    Let the required polynomial be  ax² + bx + c, and let its zeroes  and    

     

 If a = 4k, then b = -k, c = -4k

Therefore, the quadratic polynomial is k(4x ² - x - 4), where k is a real number .

One quadratic polynomial which fits the given condition is 4x ² - x - 4, when k = 1.

(ii)     Let the polynomial be  ax² + bx + c, and let its zeroes be  and  

One quadratic polynomial which fits the given condition is 3x² - 3x + 1, when k = 1.

 

(iii)    Let the polynomial be  ax² + bx + c, and let its zeroes be  and  

 

      

One quadratic polynomial which fits the given condition is x² + x, when k = 1.

(iv)    Let the polynomial be  ax² + bx + c, and let its zeroes be  and  

 

 

Therefore, the quadratic polynomial is k(x² - x + 1),where k is a real number .

One quadratic polynomial which fits the given condition is x² - x + 1, when k = 1.

(v)    Let the polynomial be ax² + bx + c, and its zeroes be  and  

Therefore, the quadratic polynomial is k(4x² + x + 1),where k is a real number .

One quadratic polynomial which fits the given condition is 4x² + x + 1,when k = 1.

(vi)    Let the polynomial be ax² + bx + c.

 

Therefore, the quadratic polynomial is k(x² - 4x + 1),where k is a real number .

One quadratic polynomial which fits the given condition is x² - 4x + 1,when k = 1.

Concept insight: Since the sum and product of zeroes gives 2 relations between three unknowns so we assign a value to the variable a and obtain other values.

Alternatively If the sum and the product of the zeroes of a quadratic polynomial is given then polynomial is given by  x² - (sum of the roots)x + product of the roots, where k is a constant. And the simplest polynomial will be the one in which k = 1.

We the team of subject wise have provided detailed solution of class 10 ncert exercise 2.2 so please read this post completely if you have any doubt please comment it down also follow our you-tube  channel. 

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 this are the link of previous video-

 Part 1 Electricity Class 10- https://youtu.be/JvGpUNF5dhA 

 Class 10 physics s chand- https://amzn.to/2ygIG5a 

Interesting question video- https://mydomainscan.com/ZsbiLmG 

 Maths problem- https://mydomainscan.com/wxSr5VQg 

motivation- https://mydomainscan.com/wxSr5VQg 

 best books- https://amzn.to/3fThv1f https://amzn.to/2LEbPKA

if you not read the previous blog please read it. it is the solution to exercise 1.1 AND EXERCISE 1.2

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this are the link of previous video-

Basics of Biology Part 1-
https://www.youtube.com/watch?v=R3UzzSq-h2Y

Part2- Electricity Class 10-
https://www.youtube.com/watch?v=Wjsw6GuJnz0&list=PLcMqfTNwNJuQ6ut9yqZwWaHiaPRgJIJ57&index=2

Part 1 Electricity Class 10-
https://youtu.be/JvGpUNF5dhA

Class 10 physics s chand-
https://amzn.to/2ygIG5a

Interesting question video-https://mydomainscan.com/ZsbiLmG
 
Maths problem-
https://mydomainscan.com/wxSr5VQg

motivation-
https://mydomainscan.com/wxSr5VQg

best books-
https://amzn.to/3fThv1f
https://amzn.to/2LEbPKA

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