Question

if α and ß are the zeros of a polynomial p(x) 3x2 - 10x + 7 find the value of α2 and ß 2

Answer 1

zeros of 3 - 10x +7 = (3 - 7x) ( -3x +7 ) = x (3x -7 ) -1(3x - 7) = (3x-7) (x-1)
x = 7/3 (or) 1

α = 7/3
β = 1
the value of 2α = 2*7/3 = 14/3
the value of 2β = 2*1= 2