Question

if alpha and beta are the zeros of the polynomials ax^2+bx+c then find the new polynomial whose zeros are root alpha and root beta

Answer 1

Answer:

x2-(alpha + beta)x+ alpha×beta.

x2-(1/alpha +1/beta)x+1/alpha×1/beta

x2-(alpha+beta/alpha× beta)x+ 1/alpha×beta

x2-( -ba/ca)x+a/c

ax2+(ba/ca)x+a/c

ax2+b/cx+a/c=0.