Question 17
Define $$
\begin{aligned} P(x)={}&(x-1^2)(x-2^2)\\ &\cdots(x-100^2). \end{aligned}
$$ How many integers $n$ are there such that $P(n)\leq 0?$
\begin{aligned} P(x)={}&(x-1^2)(x-2^2)\\ &\cdots(x-100^2). \end{aligned}
$$ How many integers $n$ are there such that $P(n)\leq 0?$