Polynomjakt

[daofeishi]

Finn alle polynomer f(x), g(x) og h(x), slik at

[tex]|f(x)| - |g(x)| + |h(x)| = \left{ \begin{array}{rl} -1 & \text{for} \ x < -1 \\ 3x +2 & \text{for} \ -1 \leq x \leq 0 \\ -2x + 2 & \text{for} \ x > 0 \end{array} \right.[/tex]