Polynomials NCERT Extra Questions for Class 9 Maths

Are you looking for Polynomials NCERT Extra Questions for Class 9 Maths? askIITians team has prepared some important extra questions related to Polynomials for your additional practice. Polynomials in the second chapter of the Class 9 Maths NCERT book. It includes concepts like degree of a polynomial, zeros of a polynomial, remainder theorem and factor theorem. There are five exercises in this chapter and more than 100 unsolved questions. 

Despite that, students often need to practice more questions about the remainder theorem and factor theorem in polynomials. Many times students do not have an idea about monomials, binomials and trinomials which confuses them in the examination. This is why the askIITians team prepared NCERT extra questions for Class 9 Maths Chapter 2 Polynomials. We have also provided stepwise solutions for every extra question so that students can study without any hassle. 

About NCERT Class 9 Maths Chapter 2 Polynomials Extra Questions 

You must have a clear understanding of the concepts of Polynomials before you start solving these extra questions. For a detailed understanding of the chapter refer to our class notes and revision notes online. If you have doubts, you can consult our Maths experts in a live study session. Otherwise, just refer to the important points given below for Polynomials and get started with the extra questions:

• 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. 
• The highest power of the variable in a polynomial is the degree of the polynomial. For example, 2x5 + 7 polynomial has a degree of 5. 
• The terms in a polynomial that have the same variable and same power are called like terms. For example, 2y and 4y are like terms. 
• The terms in a polynomial that do not have the same variable or either the same power are called, unlike terms. For example, 3x2 and 3x3 are unlike terms. 2x and 2y are also unlike terms. 
• 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. For example, x3, 2xy, 6y2 are all monomials. 
  • Binomial: Polynomials having only two terms are called binomials. For example, 2x+4, 7x2-2y2 are binomials. 
  • Trinomial: Polynomials having only three terms are called trinomials. For example, a+b+c, 2a - 3b + 3 are trinomials. 

• 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 for polynomials:

• 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

Download Polynomials NCERT Extra Questions for Class 9 Maths

Students often face different problems in solving polynomial questions such as:

• They lack the knowledge of basic polynomial concepts due to which they cannot decipher the question properly. 
• They often make mistakes in noting down the polynomial variables and coefficients which leads them to incorrect answers. 
• They do not understand the remainder theorem properly. 
• They do not understand the factor theorem properly. 

With NCERT extra questions for Polynomials students can strengthen their fundamentals and build a strong foundation of polynomials. This way they can prepare themselves for higher classes or advanced level problems in polynomials. Here’s why you must download our NCERT extra questions for Polynomials Class 9 Maths:

• These extra questions are based on CBSE previous year questions. 
• They include the latest syllabus and exam pattern. 
• The extra questions include miscellaneous topics related to polynomial concepts that you have studied in Class 9. 
• Our team of experts have created the solutions to these questions to help students learn at their own pace. 
• Practising these NCERT extra questions for polynomials will help you prepare for the Maths exam easily. 
• All the solutions can be downloaded from our website for free. 

Polynomials NCERT Extra Questions for Class 9 Maths FAQs

1. Do you also provide NCERT Solutions for Class 9 Maths Chapter 2 Polynomials? 

Yes, we have prepared exercise-wise solutions for NCERT Class 9 Maths Chapter 2 Polynomials for students. They are available on our website for free. 

2. What are the important topics covered in NCERT extra questions for the Class 9 Maths Polynomials Chapter? 

The NCERT extra questions include topics like a remainder theorem, types of polynomials, zeros of a polynomial, factor theorem and algebraic identities for polynomials. 

3. How can I improve my understanding of Polynomials? 

You can refer to our Class 9 Maths revision notes, sample papers, worksheets and mind map to learn the different concepts of polynomials. You can also enrol in our online live classes where you can study from one of our experts and clarify your doubts.