Detailed solution to all exercise questions of NCERT book for CBSE Class 9 Math in Chapter 2 - Polynomials.
Key concepts covered in this chapter include Polynomials in one variable, zeroes of a polynomial, Remainder Theorem, Factor Theorem, factorisation of polynomials, and algebraic identities.
Exercise 2.1 - 5 questions
Definition of a polynomial in one variable. Determining whether a given algebraic expression is a polynomial in one variable. Determining the number of terms in a polynomial, finding the coefficients of different terms of a polynomial. Classifying polynomials based on the number of terms as monomials, binomials, and trinomials. Classifying polynomials as linear, quadratic, and cubic polynomials.
Exercise 2.2 - 4 questions
Zeroes of a polynomial. Finding zeroes of a polynomial. Verifying whether a number is a zero of a polynomial. Computing value of a polynomial at indicated values of the variable.
Exercise 2.3 - 3 questions
Remainder theorem. Computing remainder using remainder theorem when a polynomial is divided by a binomial. Finding the remainder when a binomial divides a polynomial using the long division method.
Exercise 2.4 - 5 questions
Factorizing polynomials. Factor Theorem and its application. Factorizing a quadratic expression by splitting the middle term. Determining whether a given algebraic expression f(x) is a factor of a polynomial p(x).
Exercise 2.5 - 16 questions
Commonly used algebraic identities. Factorising polynomials based on algebraic identities. Evaluating expressions without computing the actual values but by using suitable algebraic identities.