If the sum of the zeros of the quadratic polynomial `f(t)=k t^2+2t+3k` is equal to their product, find the value of `k`.

Explanation

To solve the problem, we need to find the value of \( k \) such that the sum of the zeros of the quadratic polynomial \( f(t) = kt^2 + 2t + 3k \) is equal to their product.

### Step 1: Identify the coefficients of the quadratic polynomial
The standard form of a quadratic polynomial is given by:
\[ f(t) = at^2 + bt + c \]
In our case:
- \( a = k \)
- \( b = 2 \)
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