NCERT Solutions for Class 9 Maths Chapter 2 Polynomials — Exercise 2.4

NCERT class 9 maths chapter 2 Polynomials

Question 1:Determine which of the following polynomials has (x + 1) a factor : (i) x3 + x2 + x + 1 (ii) x4 + x3 + x2 + x + 1 (iii) x4 + 3x3 + 3x2 + x + 1 (iv) x3 – x2 – (2 + 2 ) x + 2

Exercise 2.4 maths class 9 Chapter 2 Polynomials

Question 2:Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2 (iii) p(x) = x3 – 4x2 + x + 6, g(x) = x – 3

CBSE class 9 maths ncert solutions Chapter 2

Question 3:Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2x2 + kx + 2 (iii) p(x) = kx2 – 2 x + 1 (iv) p(x) = kx2 – 3x + k

class 9 maths solutions Polynomials

Question 4:Factorise : (i) 12x2 – 7x + 1 (ii) 2x2 + 7x + 3 (iii) 6x2 + 5x – 6 (iv) 3x2 – x – 4

Question 5:Factorise : (i) x3 – 2x2 – x + 2 (ii) x3 – 3x2 – 9x – 5 (iii) x3 + 13x2 + 32x + 20 (iv) 2y3 + y2 – 2y – 1