Question

if alpha and beta are zeroes of quadratic polynomial f(x)= ax²+bx+c, evaluate alpha²+beta³​

Answer 1

Answer:

(b²-2ac)/a²

Step-by-step explanation:

f(x)= ax²+bx+c

alpha+beta = -b/a

alpha×beta = c/a

alpha²+beta²= (alpha+beta)²-2alpha×beta

= (-b/a)²-2c/a

= b²/a²-2c/a

= (b²-2ac)/a²