If `alpha, beta and gamma` the roots of the equation `x^(3) + 3x^(2) - 4x - 2 = 0.`
then find the values of the following expressions:
(i) `alpha ^(2) + beta^(2) + gamma^(2)`
(ii)`alpha ^(3) + beta^(3) + gamma^(3)`
(iii) `(1)/(alpha)+(1)/(beta)+(1)/(gamma)`

Explanation

To solve the problem, we need to find the values of the expressions given the roots \( \alpha, \beta, \gamma \) of the polynomial equation \( x^3 + 3x^2 - 4x - 2 = 0 \).

### Step 1: Identify the coefficients
The polynomial can be expressed in the standard form \( ax^3 + bx^2 + cx + d = 0 \), where:
- \( a = 1 \)
- \( b = 3 \)
- \( c = -4 \)
- \( d = -2 \)
...