Polynomials with integer coefficients

Algebra 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 $$f(3) \times g(3) = 230$$.

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