The Constant TermAlgebra Level 3
Given that the roots of the equation \(x^3 -3x^2 - 13x + c = 0\) form an arithmetic progression, find the constant term \(c\).
Details and assumptions
A root of a polynomial is a number where the polynomial evaluates to zero. For example, 6 is a root of the polynomial \( 2x - 12 \).