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NCERT Solutions for Class 10th Mathematics

 

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Chapter 2. Polynomials

Exercise 2.2

 

 

 

Chapter 2. Polynomials


Exercise 2.2

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

(i) x2 – 2x – 8

Solution:

Using Middle term splitting method:

       x2 – 4x + 2x – 8 = 0

x(x – 4) + 2(x – 4) = 0

  x(x – 4) + 2(x – 4) = 0

(x – 4) (x + 2) = 0

x – 4 = 0 x + 2 = 0

x = 4, x = – 2

Zeroes;  α = 4  β = – 2

Verifying the relationship between the zeroes and the coefficients.

a = 1, b = – 2, and c = – 8

(ii) 4s2 – 4s + 1

 (iii) 6x2 – 3 – 7x

(iv) 4u2 + 8u

(v) t2 – 15

(vi) 3x2x – 4

Q2. . Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

 

 

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