NCERT Solutions for Class 9 Maths Chapter 2 Polynomials (Ex 2.4) Exercise 2.4
Q 1: What are the important terms of a polynomial?
A term might either be a variable or a single digit or it also could be a sequence of the variable with digits.
The degree of the polynomial is the most distinguished power of the variable in a polynomial.
A polynomial of degree 1 will be termed as a linear polynomial.
A polynomial of degree 2 will be described as a quadratic polynomial.
A polynomial of degree 3 is termed as a cubic polynomial.
A polynomial of 1 term is termed as a monomial.
A polynomial of 2 terms is termed as binomial.
A polynomial of 3 terms is termed as a trinomial.
A real number ‘a’ is a zero of a polynomial p(x) if p(a) = 0, where a is also termed as root of the equation p(x) = 0.
A linear polynomial in one variable holds an individual zero, a polynomial of a non-zero constant has no zero, and every real character is a zero of the zero polynomial.
Q 2: Give a brief description of the topic.
Ans: Polynomial is acquired from the word “poly” which means “many” and the word “nominal” refers to “term”. In Math subject, a polynomial expression consists of variables which are also known as coefficients and indeterminates. The coefficients require the operations of addition, subtraction, non-negative integer exponents of variables and multiplication.
Polynomials are utterances with one or more phrases with a non-zero coefficient. A polynomial can also have one or more than one number of terms. In the form of a polynomial, each utterance in it is known as a term. Suppose x2 + 4x+ 2 is polynomial, then the expressions x2, 4x, and 2 are the terms of the polynomial. Each term of the polynomial has a coefficient. For example, if 4x+1 is the polynomial, then the coefficient of x is 4.
Q 3: Are the answers provided by Vedantu, sufficient to attain accurate marks?
Ans: Our answers are made to the point and they are drafted to aid you from the exam portion of the view. Answers to the exercising questions are certainly given with examples and they are 100% curate. Our answers will make your learning easy for the exam as they are fitted to be compatible with the tips given with the assistance of using CBSE maths Syllabus and NCERT Book.
Our answers will assist you in advancing a conceptual basis with all the principal ideas in a comprehensible language. The exercising covers all of the vital topics and subtopics of the chapter which might occur for your Class 9 maths exams. You also can clear all of your doubts from here and in this manner, you can definitely perform well in your Class 9 maths exam.
Q 4: What are the topics that are covered in this chapter?
Ans: Polynomial is an algebraic expression which includes constants, variables and exponents. It is the expression where the variables have just certain elemental powers. The topics that are covered in this chapter are:
Polynomials in One Variable
Zeros of Polynomials
Factorisation of Polynomials
Polynomial expressions are algebraic equations which will have two or more terms with the equal variables of different exponents. This is one of the notable topics for class 9 Mathematics, which students require to learn in order to gain profound knowledge about complex algebraic expressions. Mathematics is one of those subjects that serve as a foundation of numbers, analysis, figures and logic.