VTMO 2026 - Grade 9 - Semifinal - SET 05 - Self-study Question 3

A polynomial $P(x)$ leaves remainder $-4$ on division by $2x+1$ and remainder 5 on division by $5x-2$. Its quotient on division by $10x^2+x-2$ is $x$, with a remainder. Find $P(2)$.