Chapter 2 · Polynomials

NCERT Class 10 Maths Exercise 2.2

All 2 questions of NCERT Class 10 Maths Exercise 2.2 (Polynomials), in the book's order, each with its answer and a step-by-step solution.

1. Q1
   Find ​the ​zeroes of ​the following ​quadratic polynomials and verify the relationship between ​the zeroes ​and the coefficients. ​

   1. (i)$x^2-2x-8$
   2. (ii)$4s^2-4s+1$
   3. (iii)$6x^2-3-7x$ ​
   4. (iv)$4u^2+8u$
   5. (v)$t^2-15$
   6. (vi)$3x^2-x-4$
   Show answer

   (i) $4,-2$; (ii) $\frac{1}{2}$ (repeated); (iii) $-\frac{1}{3},\frac{3}{2}$; (iv) $0,-2$; (v) $\sqrt{15},-\sqrt{15}$; (vi) $\frac{4}{3},-1$. In every case the sum of the zeroes equals $-\frac{b}{a}$ and the product equals $\frac{c}{a}$.

   Step-by-step solution →
2. Q2
   Find a quadratic ​polynomial each with ​the ​given numbers as the sum and ​product of its ​zeroes ​respectively.

   1. (i)$\frac{1}{4},-1$
   2. (ii)$\sqrt{2},\frac{1}{3}$
   3. (iii)$0,\sqrt{5}$
   4. (iv)$1,1$ ​
   5. (v)$-\frac{1}{4},\frac{1}{4}$
   6. (vi)$4,1$
   Show answer

   (i) $4x^2-x-4$; (ii) $3x^2-3\sqrt{2}x+1$; (iii) $x^2+\sqrt{5}$; (iv) $x^2-x+1$; (v) $4x^2+x+1$; (vi) $x^2-4x+1$.

   Step-by-step solution →