Ncert Solutions for Class 9 Mathematics Chapter 2: Polynomial Exercise 2.1

Question 1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x^{2} – 3x + 7 (ii) y^{2} + √2 (iii) 3√t + t√ 2 (iv) y +2/y (v) x^{10} + y^{3} + t^{50}

Question 2. Write the coefficients of x2 in each of the following: (i) 2 + x^{2} + x (ii) 2 – x^{2} + x^{3} (iii) (pi/2 )x^{2}+ x (iv) √2x – 1

Question 3. Give one example each of a binomial of degree 35, and of a monomial of degree 100.

Question 4. Write the degree of each of the following polynomials: (i) 5x^{3} + 4x^{2} + 7x (ii) 4 – y^{2} (iii) 5t – √7 (iv) 3

Question 5. Classify the following as linear, quadratic and cubic polynomials: (i) x^{2} + x (ii) x – x^{3} (iii) y + y^{2} + 4 (iv) 1 + x (v) 3t (vi) r^{2}