Question

If alpha and beta are the zeroes of the polynomial f(x) = ax square + bx + c then evaluate 1/alpha+ 1/ beta and alpha cube + beta cube

Answer 1

Answer:

Polynomial = ax2+bx+c

1/alpha+1/beta

Alpha+beta/alphabeta

Alpha+beta=-b/a

Alphabeta=c/a

-b/a/c/a

=-b/a