Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. (i) (1\over4), 1 – chillimath.com

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

(i) \(1\over4\), 1

(ii) \(\sqrt{2}\),\(1 \over 3\)

(iii) 0, \(\sqrt{5}\)

(iv) 1, 1

(v) \(-1 \over 4\),\(1 \over 4\)

(vi) 4, 1

Class 10

Polynomials

Exercise 2.2

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

(i) x² – 2x – 8

(ii) 4s² – 4s + 1

(iii) 6x²– 3 – 7x

(vi) 3x² – x – 4

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

(i) \(1\over4\), 1

(ii) \(\sqrt{2}\),\(1 \over 3\)

(iii) 0, \(\sqrt{5}\)

(v) \(-1 \over 4\),\(1 \over 4\)