NCERT Solutions for Class 10 Maths Chapter 2 Polynomials
NCERT solutions for class 10 maths Chapter 2 Polynomials will help the students revisit concepts that they might have studied till now in their previous classes. Polynomial is an expression that consists of variables, coefficients, with various mathematical operations like addition, subtraction, multiplication, division, and a non-negative integer exponent. Also, the highest power of x or the variable in a polynomial is known as the degree of that polynomial. A polynomial can be further classified on this basis into linear, quadratic, cubic polynomials. Kids are given a quick revision of concepts such as the categorization of polynomials as well as the zeros of a polynomial before proceeding to seamlessly integrate new topics into their curriculum. The NCERT solutions class 10 maths Chapter 2 Polynomials kids will be introduced to the geometrical meaning of zeros of a polynomial, the relationship between zeros and coefficients of a polynomial, as well as the division algorithm for polynomials.
All of the topics covered in this chapter will help students in higher grades, as the above-mentioned topics form the basis of algebra. Lastly, the division algorithm for polynomials is also illustrated by well-drafted examples which the students must take note of. The class 10 maths NCERT Solutions Chapter 2 Polynomials with all the facts and formulas regarding polynomials are given below and also you can find some of these in the exercises given below.
- NCERT Solutions Class 10 Maths Chapter 2 Ex 2.1
- NCERT Solutions Class 10 Maths Chapter 2 Ex 2.2
- NCERT Solutions Class 10 Maths Chapter 2 Ex 2.3
- NCERT Solutions Class 10 Maths Chapter 2 Ex 2.4
NCERT Solutions for Class 10 Maths Chapter 2 PDF
These NCERT solutions in class 10 maths will give enough practice to the students on how to find the zeroes of the given quadratic polynomials, and how to verify the relationship between the zeroes and the coefficients. Also, they will get to learn how to proceed with the division of polynomials thereby finding their quotients and remainders. The strategic approach towards all of the above topics is neatly outlined in each of the sections of the NCERT Solutions Class 10 Maths below:
☛ Download Class 10 Maths NCERT Solutions Chapter 2 Polynomials
NCERT Class 10 Maths Chapter 2
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials
The concepts mentioned above of polynomials serve as the foundation for advanced mathematics, therefore mastering the fundamentals by completing a variety of problems is important to instill a basic understanding of the topic. The solved examples presented in the book will help the students grasp the polynomial properties effectively. An exercise-wise analysis of the NCERT Solutions Class 10 Maths Chapter 2 Polynomials is provided below:
- Class 10 Maths Chapter 2 Ex 2.1 - 1 Question
- Class 10 Maths Chapter 2 Ex 2.2 - 2 Questions
- Class 10 Maths Chapter 2 Ex 2.3 - 5 Questions
- Class 10 Maths Chapter 2 Ex 2.4 - 5 Questions
Topics covered: The topics covered in the class 10 maths NCERT Solutions Chapter 2 are degrees of polynomials, quadratic polynomial, cubic polynomials, the relationship between zeroes, and the coefficients of the given polynomials, and the division algorithm of polynomials.
Total Questions: Class 10 Maths Chapter 2 Polynomials consist of 13 key questions, of which 10 are easy, 3 are medium-level sums and 6 problems that require some brainstorming as they are challenging.
List of Formulas in NCERT Solutions Class 10 Maths Chapter 2
NCERT Class 10 maths chapter 2 encompass different concepts of polynomials. The formulas are given in this lesson work to simplify tough problems that would otherwise prove to be very time-consuming. Kids are required to learn certain formulas and processes that are crucial to attempting the questions on polynomial.s This is a topic that will make its way into the chapters of higher-order studies directly or indirectly. Thus, building a deep-seated knowledge base for the same is very important. Some of the important theories and formulas covered in the NCERT Solutions Class 10 Maths Chapter 2 are given below :
- Degree of a polynomial: p(x), where x is the highest power of the polynomial
- The graph of a linear polynomial is given as ax + b which is a straight line
- Relationship between zero and coefficient i.e k= - constant term/ coefficient of x (linear polynomial).
- For a quadratic polynomial:
Sum of its zeros = - (coefficient of x)/(coefficient of x2)
Product of its zeros = (constant term)/(coefficient of x2)
- According to the division algorithm, for any polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that p(x) = g(x) q(x) + r(x)
FAQs on NCERT Solutions Class 10 Maths Chapter 2
Why are NCERT Solutions Class 10 Maths Chapter 2 vital for scoring well?
NCERT Solutions Class 10 maths chapter 2 Polynomials have surprising applications not just in mathematics but in everyday life as well. Since polynomials are used to define curves, they are used in online banking, high-frequency trading algorithms, computers, aircraft, and many more areas. The concept of polynomials is applied in higher-level mathematics at a large scale. Hence, it is important to have a strong foundation of this topic to score well in exams.
Do I Need to Practice all Questions Given in NCERT Solutions Class 10 Maths Polynomials?
The questions for the board examinations are mainly picked from NCERT Solutions. Questions on linear, quadratic, and cubic polynomials, the meaning of zero of a polynomial, and real numbers need regular practice. The CBSE also recommends studying from the NCERT Solutions Class 10 Maths Polynomials solutions, thereby making them very important. Hence, it is advisable for the students to solve all the questions to gain enough practice.
What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 2?
The important topics covered in NCERT solutions class 10 maths chapter 2 are the definition of a zero of a polynomial, degrees of a polynomial, and the division algorithm of polynomials. Polynomials Chapter 2 is very diverse and helps the students understand concepts such as parabolas, graphs, and the geometric meaning of zeros of the polynomial.
How Many Questions are there in NCERT Solutions Class 10 Maths Chapter 2 Polynomials?
The NCERT Solutions class 10 maths chapter 2 Polynomials consist of 13 well-researched questions. These 13 sums are well-placed concerning the theory's setting. These problems are in different formats such as equation, long answer type, word problems, proof-based questions, and many more. The variety of questions make the NCERT solutions interesting and engaging.
What are the Important Formulas in NCERT Solutions Class 10 Maths Chapter 2?
The important formulas and concepts covered in the NCERT Solutions class 10 chapter 2 include the division algorithm, the relationship between zeroes and the coefficient, linear, quadratic, and cubic polynomial equations. The formulas can help students solve questions faster and complete the exam syllabus well within the given time frame.
Why Should I Practice NCERT Solutions Class 10 Maths Polynomials Chapter 2?
NCERT Solutions assists the students in reinforcing their understanding of concepts like coefficients, parabolas, variables, and many more. NCERT Solutions class 10 maths Polynomials chapter 2 include graphs and geometry. While attempting questions from this chapter that are based on real-life situations, students will develop problem-solving skills. This is one of the most important chapters for board exams; hence students must practice all the questions.