MathNet 2010 — Part 04 Question 151

Let $f(x)$ be a cubic polynomial. If $f(x)$ is divided by $2x+3$, the remainder is $4$, while if it is divided by $3x+4$, the remainder is $5$. What will be the remainder when $f(x)$ is divided by $6x^{2}+17x+12$?