Algebra · Polynomials · Restricted coefficients · Geometric series bounds · Base 3 representation · Uniqueness
Determine all polynomials \(R(x)\) whose coefficients all belong to the set \(\{-1, 1\}\) and which satisfy
\[ R(3) = 130 \qquad \text{and} \qquad R(-2) = -45 . \]
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian National Competition (Drzavno takmicenje) 2014, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source