Roots of an Interesting Polynomial

Algebra Level 4

Suppose the roots of \( x^3 + 3x^2 + 4x - 11 \) are \( \alpha, \beta, \gamma \).

If the roots of \( x^3 + rx^2 + sx + t \) are \( \alpha + \beta, \alpha + \gamma, \beta + \gamma \), then find \( t \).