# 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 $$2x - 12$$.

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