Question

if alpha and beta are zeroes of polynomial 3x^2+4x+2 then alpha beta square plus beta alpha square​

Answer 1

Step-by-step explanation:

sum roots of ax^2+bx+c is -b/a

product of roots = c/a

let a,b be roots of given equation

a+b = -4/3 , ab = 2/3

(a+b)² = (-4/3)²

a²+b²+2ab = -16/9

a²+b²+2×(2/3) = -16/9

a²+b² = -16/9 -4/3 = -16-12/9 = -28/9