Question

The quardatic polynomial when the sum amd products of its zeros are 3, 1 respecrively is?

Answer 1

First Method

Sum of zeroes =3=-b/a

Product of zeroes =1=c/a

a=1, b=-3 and c=1

We know that the quadratic polynomial is in the form of ax^2+bx+c=0

Therefore, the required polynomial is x^2-3x+1=0

Second Method

Quadratic polynomial =x^2-(Sum of zeroes) x+(Product of zeroes)=0

=> x^2-3x+1=0