What Do We Learn In The Polynomials Class 9 Solutions?
NCERT solutions for class 9 maths chapter 2 explains the concept of Polynomials. Polynomial is derived from two words- “poly’’ and “nomial”. The word Poly means- ‘many’, and the word nomial means ‘term’. Speaking strictly in mathematical terms, a polynomial expression has variables known as intermediates and coefficients. The coefficients include operations like- subtraction, multiplication and addition.
NCERT solutions for class 9 maths chapter 2 provide a detailed explanation of all the important fundamentals. Additionally, these NCERT solutions for class 9 maths chapter 2 also solve important questions and present easy tricks and tips to save time during the exam.
The topics that polynomials class 9 solutions cover are-
- Introduction to Polynomials
- Polynomials in one Variable
- Zeroes of polynomials.
- Remainder theorem
- Algebraic identities
In the introduction to Polynomials, the polynomials class 9 solutions explain the term polynomials with an example. For example- the expression- x2 + 5x + 2 is a polynomial. Out of this, the terms of the polynomial terms are- x2 + 5x. Every term of the polynomial has a coefficient. Therefore the term- 5x + 2, the coefficient is 5.
Additionally, through these polynomials class 9 solutions, students also learn that real numbers can also be expressed as polynomials. Example-the numbers- 4,5,6 are also polynomials without any variables. Therefore, they are called constant polynomials.
Next, in class 9 maths chapter 2, students learn about the degree of pl=olynimials. For example, in the term- x2 + 5x + 2- the degree of the polynomial is 2. Based on this factor, there are different types of polynomials-
● Linear polynomials- with one degree
● Quadratic polynomial- with two degrees.
● Cubic polynomial with three degrees.
To explain it further students are also provided with examples of polynomial expressions in the NCERT solutions for class 9 maths chapter 2-
● x + y
● 9a + b + 10
● w + x + y + z
● x2 + x + 9
In the second section of class 9 maths, that is, Polynomials in one Variable, students are taught what one variable expression is and are given examples to make understanding easier. Finally, the NCERT solutions for class 9 maths chapter 2 ends with activities and questions for students, which they can solve by applying logic and tricks taught in the chapter.
Frequently Asked Questions on Polynomials Class 9 Solutions
Q1. What should I opt for Polynomials class 9 Solutions?
The main advantages of studying polynomials class 9 solutions are-
● The NCERT solutions for class 9 chapter 2 helps students revise the entire syllabus of class 9 and resolve all doubts.
● The solutions are prepared following all NCERT exam guidelines.
● The solutions also contain important questions from previous year's papers.
Q2. How many exercises will I solve in chapter 2 of NCERT solutions for class 9 Maths?
NCERT solutions for class 9 maths chapter 2 has five exercises in total. The exercises explore various concepts related to polynomials, such as polynomials in one Variable, zeros of a polynomial, real numbers and their decimal expansions, etc.