Question

If alpha amd beta are the zeroes of the polynomial x^2-2x-15 then form a quadratic polynomial whose zeroes are2alpha and 2beta.

Answer 1

Alpha + beta = -2 then 2 alpha + 2 beta = -2x2 = -4 and alpha x beta = -15 then 2alphax 2beta = 4 alpha beta = 4x-15 = -60 so the equation is x^2 -4x-60=0