Question

if alpha and beta are zeros of F(X) = 6 x square + X - 2 find alpha/beta + alpha/beta

Answer 1

6x^2+x -2
Splitting the middle term
6x^2+4x-3x-2
2x ( 3x+2 ) -1 (3x+2 )
(2x-1) ( 3x+2)
Therefore the two zeroes of the polynomial are 1/2 and 2/3
Either 1/2 or 2/3 is alpha which implies other will be beta but the answer will be same in both conditions
Now alpha / beta + alpha / beta =2 times alpha / beta
Let alpha 1/2 and beta 2/3
2 * 1/2 divides by 2/3
2*1/2*3/2
=6/4
= 3/2