MathNet 2019-part-04 — 184 problems (EN–VI) Question 135

Let $a$ and $b$ be integers such that in the expanded form of $(x^{2}+a x+b)^{3}$, the numerical coefficient of $x^{4}$ is $99$ and the numerical coefficient of $x$ is $162$. What are the values of $a$ and $b$?