Question

if alpha and beta are zeros of polynomial f of X is equals to X square + X - 4 find values of Alpha Cube + beta cube

Answer 1

Hi !!!

Let alpha = a

and

beta =b


a³ + b³ = ( a + b )³ - 3ab( a + b )

a + b = -1

ab = -4

a³ + b³ = (-1)³ - 3 ( -4 ) ( -1 )

a³ + b³ = 1 -12

a ³ + b³ = -11

have a great future ahead...