Question

find the quadratic polynomial whose zeros are a and b satisfying a+b =3 and a-b =-1

Answer 1

Heya,

a+b = 3

=> a= 3-b _____(1)

a-b = 1 ____(2)

Substitute eq 1 in eq 2

3-b-b = 1

3-2b=1

-2b= -2

b= 1

a+b = 3

a+1 = 3

a= 2

Sum of the Zeroes = -b/a

3= -B/A

-B= 3

B = -3

A = 1

Product of the zeroes = C/A

2= C/A

C = 2

Therefore the required quadratic polynomial is x^2 -3x+2

Hope it helps u..