The given zeros are - 5/4, - 2/3, 2
We would find the factors
For x = - 5/4,
4x = - 5
4x + 5 = 0
For x = - 2/3,
3x = - 2
3x + 2 = 0
For x = 2,
x - 2 = 0
We would multiply the factors. We have
(4x + 5)(3x + 2)(x - 2)
By applying the distributive proerty of multiplication, we vae
(4x + 5)(3x + 2) = 12x^2 + 8x + 15x + 10
(4x + 5)(3x + 2) = 12x^2 + 23x + 10
(x - 2)(12x^2 + 23x + 10) = 12x^3 + 23x^2 + 10x - 24x^2 - 46x - 20
(x - 2)(12x^2 + 23x + 10) = - 24x^2 = 12x^3 + 23x^2 - 24x^2 + 10x - 46x - 20
= 12x^3 - x^2 - 36x - 20
The first option is correct