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

×

Problem Loading...

Note Loading...

Set Loading...