Polynomials with integer coefficientsAlgebra Level 4
\(f(x) \) and \(g(x) \) are non-constant polynomials with integer coefficients such that
\[ f(x) \times g(x) = x^5 - x^2 - x - 1. \]
What is the value of \( \lvert f(3) + g(3) \rvert \)?
Details and assumptions
You may use the fact that \( f(3) \times g(3) = 230 \).