If one zeroes of the polynomial f (x) = 4x² - 8kx + 8x - 9 is negative of other,

then find the zeroes of kx² + 3kx + 2.

-1 and - 2

Step-by-step explanation:

f (x) = 4x² - 8kx + 8x - 9

f (x) = 4x² - 8 (k-1) x - 9

If one root of f (x) is the opposite of the other, then f (x) must be a difference of squares, which means - 8 (k-1) = 0.

-8 (k-1) = 0

k = 1

Therefore, the other polynomial is:

x² + 3x + 2

(x + 1) (x + 2)

The zeros are - 1 and - 2.