Exersice 2.4 Class 10 NCERT Solutions pdf with small and detailed answers

We the team of subject wise have provided detailed solution of class 10 ncert exercise 2.4 so please read this post completely if you have any doubt please comment it down also follow our you-tube  channel.

 

 

Chapter 2- Polynomials Exercise Ex.2.4

here it is solution of question 1

Chapter 2 - Polynomials Exercise Ex. 2.4

Solution 1

On comparing the given polynomial with the polynomial ax³ + bx² + cx + d, we obtain a = 2, b = 1, c = -5, d = 2



Thus, the relationship between the zeroes and the coefficients is verified.



On comparing the given polynomial with the polynomial ax_³ + bx_² + cx + d, we obtain a = 1, b = -4, c = 5, d = -2.



Thus, the relationship between the zeroes and the coefficients is verified.

Concept insight: The zero of a polynomial is that value of the variable which makes the polynomial 0. Remember that there are three  relationships between the zeroes of a cubic polynomial and its coefficients which involve the sum of zeroes, product of all zeroes and the product of zeroes taken two at a time. 

 

 

 

Chapter 2- Polynomials Exercise Ex.2.4

here it is solution of question 2

Solution 2

Let the polynomial be ax^₃  + bx^₂ + cx + d and its zeroes be   .
According to the given information:



If a = k, then b = -2k, c = -7k, d = 14k

Thus, the required cubic polynomial is k(x^₃ - 2x^₂ - 7x + 14), where k is any real number.
The simplest polynomial will be obtained by taking k = 1.

Concept insight: A cubic polynomial involves four unknowns and we have three relations involving these unknowns, so the coefficients of the cubic polynomial can be found by assuming the value of one unknown and then finding the other three unknowns from the three relations.

 

 Chapter 2- Polynomials Exercise Ex.2.4

here it is solution of question 3

 

Solution 3

Let p(x) = x³ - 3x² + x + 1
The zeroes of the polynomial p(x) are given as a - b, a, a + b.
Comparing the given polynomial with dx³ + ex² + fx + g, we can observe that
d = 1, e = -3, f = 1, g = 1




Therefore, the zeroes of p(x) are 1-b, 1, 1+b .



Concept insight: When the polynomial and its zeroes are given then, remember to apply relationships between the zeroes and coefficients .
These relations  involve the sum of the zeroes, product of zeroes and the product of zeroes taken two at a time.

Chapter 2- Polynomials Exercise Ex.2.4

here it is solution of question 4

 

Solution 4

Therefore, x^₂ - 4x + 1 is a factor of the given polynomial.

For finding the remaining zeroes of the given polynomial, we will carry out the division of



Hence, 7 and -5 are also zeroes of the given polynomial.

Concept insight: If a is a zero of a polynomial p(x), where degree of p(x) is greater than 1, then (x - a) will be a factor of p(x) that is when p(x) is divided by (x - a), then the remainder obtained will be 0 and the quotient will be a factor of p(x) using division algorithm.  Remember that if (x - a) and (x - b) are factors of a polynomial, then (x - a)(x - b) will also be a factor of that polynomial.

Chapter 2- Polynomials Exercise Ex.2.4

here it is solution of question 5

 

Solution 5

By division algorithm,
Dividend = Divisor x Quotient + Remainder
Divisor x Quotient = Dividend - Remainder





It will be perfectly divisible by x^₂ - 2x + k.




10 - a - 8 x 5 + 25 = 0
10 - a - 40 + 25 = 0
- 5 - a = 0
a = -5

Thus, k = 5 and a = -5.

Concept insight: When a polynomial is divided by any non-zero polynomial, then it satisfies the division algorithm which is as below:
Dividend = Divisor x Quotient + Remainder

Divisor x Quotient = Dividend - Remainder

So, from this relation, it can be said that the result (Dividend - Remainder) will be completely divisible by the divisor

 

Dont Forget to subscribe my channel.

 

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 2.3

 
not forget to suscribe our channel. also follow us on the telegram grouup

Here at Subject Wise Our Focus Is To Provide Best Quality Education To All Students From India And Across The Globe.
   










------------------------------------------------------------------------------------------------------------

Follow Us On Our Social Media Handles For Behind The Scenes Stuff And Important Updates....



TELEGRAM 👇🏼

https://t.me/joinchat/K40m2h2t4kDvXN1ATNYUqg

Blogger 👇🏼

https://subjectwiseyt.blogspot.com/

-------------------------------------------------------------------------------------------------------------

If This Video Was Helpful Do Leave A Like Since It Encourages Us To Make More Videos For All You Wonderful Students.



Make Sure To Comment Your Views Below.



Lastly Make Sure To Subscribe Our Channel And Press The Bell Icon For All Notification Of Our Latest Videos.

-------------------------------------------------------------------------------------------------------------

For Live Sessions, Chapter wise notes and Important Question Bank make sure you register at



https://subjectwiseyt.blogspot.com/


 
Get Your Courses On Our Website : For A Distraction Free And Efficient Studies

-------------------------------------------------------------------------------------------------------------
Please help me and tell me all the mistakes committed by me so i can improve it in  next video.


Dont Forget to subscribe my channel.


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

Next video will definetly come within one week
------------------------------------------------------------------------------------------------
 


SubjectWise - New way to learn
 

------------------------------------------------------------------------------------------------
 

At last Thanks for watching Our Videos For any new Requirement please Comment Below.

 


#Class10Crack #FightagainstCorona #SubjectWise