Question

If alpaha and beeta are the zeroes of polynomial 3x2-x-4 find

Answer 1

3x2 - x - 4

= 3x2 + 3x - 4x - 4

= 3x (x + 1) - 4(x + 1)

= (3x - 4) (x + 1)

Now, to get the zeroes,

(3x - 4) = 0 , (x + 1) = 0

x = 4/3  or  x = -1