Question

If alpha and beta are zeros of the polynomial f(X) = 2x^2+11x+5 then find alpha^4 + beta^4

Answer 1

2x2+(10+1)x+5

2x2+10x+1x+5

2x(x+5)+1(x+5)

(x+5)(2x+1)

=x=-5 And -1/2

now alpha4=-5 power 4=625

beta power 4=-1/2 power 4=1/16

625+1/16 I hope u can solve it now!!!