# The Constant Term

**Algebra**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 \( 2x - 12 \).