Question

if alpha and beta are zeros of polynomial x2-ax+a , find 1) alpha4-beta4​

Answer 1

Answer:

Step-by-step explanation:

alpha+beta=a

alpha*beta=a

alpha^4+beta^4

(alpha^2+beta^2)^2-2alpha^2beta^2

((alpha+beta)^2-2alpha*beta)^2-2(alpha*beta)^2

(a^2-2a)^2-2(a^2)

a^4+4a^2-4a^3-2a^2

=a^4-4a^3+2a^2