Question

if a and b are the zeroes of the polynomial x2-2x+3 find the polynomial whose zeroes are a-1/a+1 and b-1/b+1

Answer 1

It is given that a and b are zeros of polynomial f(x)=x2-2x+3.

Therefore, a+b=2

ab=3

Now, the zeroes of the required quadratic polynomial are  

Sum of roots = Similarly, we get Product of roots = 1/3

 Now, the required quadratic polynomial is given by:

x2 - (Sum of roots)x + (Product of roots)

i.e., x2 - (2/3)x + (1/3)

hope it helps you