Question 108
Find the least real $m$ such that there exist reals $a$ and $b$ for which the inequality
$$
|x^2 + a x + b| \le m
$$
holds for all $x \in (0, 2)$.
$$
|x^2 + a x + b| \le m
$$
holds for all $x \in (0, 2)$.
MathNet 2015-part-02 — 191 problems (EN–VI) Question 108
Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)