Class 9 Maths Revision Notes for Polynomials of Chapter 2 - Free PDF Download
Polynomials Class 9 Notes CBSE Maths Chapter 2 (Free PDF Download)
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FAQs on Polynomials Class 9 Notes CBSE Maths Chapter 2 (Free PDF Download)
1. Define a Polynomial.
Ans: A polynomial is an expression that contains terms, variables, constants, and exponents. For example, 3x2 - 2x - 10 is a polynomial.
2. What is a Zero Polynomial?
Ans: It is a constant polynomial, all coefficients equal to 0. The equivalent polynomial function is a constant function with a value of 0. A Zero Polynomial is a polynomial in which all variable coefficients are equal to zero. It is a constant polynomial with a value of 0. As a result, the zero polynomial is said to be the additive identity of the polynomial additive group.
3. Mention the Different Types of Polynomials.
Ans: The different types of polynomials are:
Monomial
Binomial
Trinomial
A polynomial can also have many other numbers of terms. However, these terms cannot be infinite.
4. Factorize 6x2 + 17x + 5 by Dividing the Middle Term.
Ans: If we can find two p and q numbers such that p + q = 17 and pq = 6 x 5 = 30, then the factors can be obtained. Some of the factors of 30 are 1, 30, 2, 15, 3, 10, 5, and 6, out of which 2 and 15 are the pairs that give p + q = 17.
6x2 + 17x + 5 = 6x2 + (2 + 15)x + 5
= 6x2 + 2x + 15x + 5
= 2 x (3x + 1) + 5(3x + 1)
= (3x + 1) (2x + 5)
5. Explain the properties of a Polynomial, according to Chapter 2 of Class 9 Maths.
Polynomials consist of terms where each term is raised to power with variables multiplied by a coefficient. Polynomials have various important properties and theorems. Some of these properties include the Division Algorithm, Bezout's Theorem, the remainder theorem, the factor theorem, the intermediate value theorem, the Descartes rule of sign, the fundamental theorem of algebra, and many more. Vedantu provides you with revision notes based on these properties, which will help you understand the concepts better.
6. How to solve Linear Polynomials, according to Chapter 2 of Class 9 Maths?
One of the ways to solve a polynomial is by using the Linear method. In the first step in this method, you must isolate the variable terms. After you do so, you need to make sure that the equation must be equal to zero. Once the equation equals, the equation can be easily solved using a basic algebra operation. For example, if you have to solve 2x - 8, then you need to follow the following steps:
2x - 8 = 0
2x = 8
x = 8/2
x = 4
7. How to refer to Revision Notes for Chapter 2 of Class 9 Maths?
Maths is a subject that has the highest-scoring capability in Class 9. Revision Notes for Chapter 2 of Class 9 Maths cover all the important exercises available in the NCERT textbooks. These notes are available to you online. The study materials available in this book explain all the questions, problems, and equations available in the subject. Once you start going through these, you will start to understand all the concepts better.
8. How to score more in Chapter 2 of Class 9 Maths?
You should remember that you need to practice maths problems every day if you want to score well in all your exams. For this, Revision Notes behaves as the perfect guidebook for you. Vedantu provides you with practice papers. With the help of this, you can solve as many questions and answers as you can. There are even previous year's question papers available. These study resources are available free of cost on the Vedantu website and the Vedantu app.
9. What are the important concepts and topics in Chapter 2 of Class 9 Maths?
Chapter 2 of Class 9 Maths talks about Polynomials. This Chapter has the most scoring topics. There are many important topics, formulas, theorems, and concepts in this Chapter. These include polynomials in one variable, real numbers, zeros of a polynomial, decimal expansions of real numbers, laws of real numbers, exponents of real numbers, and representing real numbers on the number line.