Cubes of a cubic
Algebra
Level
4
Let the roots of the cubic equation \( { x }^{ 3 }-3{ x }^{ 2 }+5x-7 \) be \(\alpha, \beta \quad and \gamma \) . Then find \(\alpha ^{ 3 }+\beta ^{ 3 }+\gamma ^{ 3 } \)
This problem is a part of my set The Best of Me
by
Siddharth G