Question

If α and β are the zeroes of the polynomial x2 + 4x + 3, find the polynomial whose zeroes are 1+α/β and 1+α/β .

Answer 1

Since α and β are the zeroes of the quadratic

polynomial x2+4x+3

Sum of zeroes of new polynomial

So required polynomiai = I - ( *,rm of the zeroes) x

• Product of the zeroes