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NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.5

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.5 provide you stepwise answers to all the exercise questions. Exercise 2.5 includes 41 questions of different types such as factorisation of polynomials, algebraic identities for polynomials, expansion of polynomials, etc. These NCERT solutions are prepared by our Maths experts and provide stepwise explanations of each answer. These solutions are based on the latest exam pattern and syllabus for the academic year 2022. 

Students must download our NCERT Solutions for Class 9 Maths Chapter 2 Ex 2.5 for a better understanding of the concepts of polynomials. These solutions are available on the askIITians website for free. You can download them and refer to them whenever you want. We have provided exercise-wise solutions for Class 9 Maths Chapter 2 out of which you can access the solutions for exercise 2.5. These solutions are self-explanatory so that you can understand them without any special guidance. They are comprehensive and easy to understand. Let us see what is included in our online NCERT Solutions for Class 9 Maths Chapter 2 Ex 2.5. 

About NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.5

Exercise 2.5 of Class 9 Maths NCERT textbook Chapter 2 Polynomials is the last exercise of the chapter. It includes 16 questions with many sub-parts. In total, there are 41 questions in this exercise. It is a miscellaneous exercise that tests your knowledge about polynomials and the concepts related to polynomials that you have learned in the chapter. Here are some important points related to polynomials that you must know before you solve this exercise:

    • Definition of a Polynomial: A polynomial is an algebraic expression that includes variables, coefficients and exponents. For example, y2+5, and 3x3−7 are polynomials. Every term in a polynomial consists of a coefficient. 
    • Degree of a Polynomial: The highest power of the variable in a polynomial is the degree of the polynomial.
    • Types of Polynomials: A polynomial can be classified as the following based on the number of terms it has:
      • Zero Polynomial: The constant polynomial 0 is called the zero polynomial. 
      • Monomial: Polynomials having only one term are called monomials.
      • Binomial: Polynomials having only two terms are called binomials. 
      • Trinomial: Polynomials having only three terms are called trinomials. 
    • Zero of a Polynomial: A zero of a polynomial p(x) is a number c such that p(c) = 0. 
    • Remainder Theorem: Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a). 
    • Factor Theorem: If p(x) is a polynomial of degree n > 1 and a is any real number, then (i) x – a is a factor of p(x), if p(a) = 0, and (ii) p(a) = 0, if x – a is a factor of p(x).
  • Important algebraic identities:
    • Identity I: (x + y) 2 = x 2 + 2xy + y2 
    • Identity II: (x – y) 2 = x 2 – 2xy + y2
    • Identity III: x 2 – y 2 = (x + y) (x – y)
    • Identity IV: (x + a) (x + b) = x 2 + (a + b)x + ab

Our NCERT solutions for Ex 2.5 of Chapter 2 Polynomials include all the above-mentioned points. We have mentioned clear explanations and the identities that are used in solving a question so that you do not get confused about how we calculated the answer. Download our NCERT Solutions for Class 9 Maths Chapter 2 Polynomials today to know more. 

Download NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.5

NCERT solutions prepared by askIITians experts include answers for every exercise question in detail. Here we have deciphered the complete exercise for you so when you download our free NCERT solutions, you face no confusion. 

Ex 2.5 Q1: The first question of this exercise is about finding products of the given polynomials using suitable algebraic identities. There are 5 parts of this question and each of them is solved stepwise in our NCERT Solutions for Class 9 Maths. 

Ex 2.5 Q2: In this question, you have to evaluate the product of given numbers without multiplying them directly. There are three parts to this question. You might find it tricky but our experts have solved it comprehensively for you. 

Ex 2.5 Q3: In this question, you have to factorise the given polynomials using suitable identities. This question also has three sub-parts. 

Ex 2.5 Q4: This question includes 6 parts where you are given polynomials with three variables and you have to expand each of them using suitable identities. You have to be careful in using the algebraic identity here and make no mistakes. 

Ex 2.5 Q5: In this question, you are given two complex polynomials and you have to factorise them. Our NCERT solutions include a stepwise explanation of this question. 

Ex 2.5 Q6: This question includes cubes of polynomials and you have to expand them. There are four parts to this question. 

Ex 2.5 Q7: In this question, you have to evaluate the cubes of given numbers without multiplying them directly. There are three parts to this question. Our Maths experts have solved it comprehensively for you in our NCERT solutions. 

Ex 2.5 Q8: This question includes 4 parts where you have to factorise the given polynomials. 

Ex 2.5 Q9: This question asks you to verify the given algebraic identities for polynomials with two variables. Find the stepwise explanation of the proofs in our free Class 9 Maths NCERT solutions. 

Ex 2.5 Q10: This question is based on the identities you have proved in question 9. You have to factorise the polynomials given in this question. The question becomes very easy to solve if you have solved the ninth question properly. 

Ex 2.5 Q11: In this question, you have to factorise the cubic polynomial given to you. The question becomes quite easy to solve if you have solved the ninth question properly. 

Ex 2.5 Q12: In this question, you have to identify the given identity. Find a stepwise explanation of how to solve this NCERT question in our NCERT Solutions for Class 9 Maths Chapter 2 Polynomials. 

Ex 2.5 Q13: In this question, you have to verify the given polynomial equation. Find the complete answer to this question in our NCERT solutions. 

Ex 2.5 Q14: In this question, you have to calculate the cubes of the given numbers without actually calculating them. Find out which algebraic identity you need to use in solving this question in our pre-solved NCERT solutions. 

Ex 2.5 Q15: This question is a little different from the rest of the exercise. Here, you have to find the possible expressions of length and breadth of rectangles whose areas are given to you. 

Ex 2.5 Q16: This question is also similar to question 15. Here you have to find possible expressions for the dimensions of the cuboids whose volumes are given to you. These kinds of questions are a must to practice for your Maths exams. 

Why NCERT Solutions for Class 9 Maths Chapter 2 Polynomials are Important? 

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.5 are important for you because they give you clarity on how to solve the NCERT exercise properly. You will understand how to solve the polynomial questions carefully and with proper explanation. 

NCERT solutions provided by askIITians bring concept clarity to you so that you can prepare better for the examination. You can also use them as last-minute revision notes and complete your revision quickly. These NCERT Solutions for Polynomials are the best way to resolve your doubts instantly whenever you get stuck in any of the exercise questions. 

NCERT Solutions for Class 9 Maths Chapter 2 Polynomials Ex 2.5 FAQs

  1. Is NCERT Class 9 Maths Chapter 2 Polynomials Ex 2.5 important? 

This exercise includes miscellaneous questions based on all the concepts that you have learned about Polynomials. Practising this exercise is a must to see how well you understand the chapter. 

  1. How many questions are there in this exercise?

Class 9 Maths Chapter 2 Polynomials NCERT solutions for Ex2.5 include 41 questions in total. 

  1. Which study resources does askIITians provide for Class 9 Maths? 

askIITians provides many useful resources to Class 9 Maths students such as free revision notes, online classes, sample papers, practice worksheets, previous year papers, mind maps, flashcards and more. 


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