Question

2. Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.
(i) 1/4,-1 (ii) 2^1/2,1/3 (iii) 0,5^1/2 (iv) 1,1 (v) -1/4,1/4 (vi) 4,1​

Answer 1

For a quadratic polynomial, we sum of roots and product of roots

The general equation of a quadratic polynomial is

x^2-(sum of roots )x + (product of roots)=0

(i) x^2-(1/4)x-1

(ii)x^2-(2^1/2)x+(1/3)

(iii)x^2+0x+(5^1/2)

(iv)x^2-1x+1

(v)x^2+(1/4)x+(1/4)

(vi)x^2-4x+1