Question 181
Find the least real $m$ for which there exist real $a$, $b$ such that
$$
|x^2 + a x + b| \leq m(x^2 + 1)
$$
holds for any $x \in (-1, 1]$.
$$
|x^2 + a x + b| \leq m(x^2 + 1)
$$
holds for any $x \in (-1, 1]$.
MathNet 2016-part-01 — 184 problems (EN–VI) Question 181
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)