Question

if the alpha and bita are the zeroes of the polynomial ax²+bx+c, then find the other polynomial whose zeroes are alpha² and bita ²
--------------------------
bita and alpha​

Answer 1

Step-by-step explanation:

If alpha,beta are roots of a quadratic equation ax^2+bx+c=0,then

alpha+beta=-b/a

alpha*beta=c/a

Therefore,alpha sq.+beta sq. =(alpha+beta)^2-2.alpha.beta

                                      =(-b/a)^2-2*c/a

                                      =b^2/a^2-2c/a

                                      =(b^2-2ac)/a^2