Question 59
A polynomial
$$P(x)=a_{2n}x^{2n}+a_{2n-1}x^{2n-1}+\cdots+a_1x+a_0$$
has every coefficient $a_i$ in $[100,101]$. What is the smallest positive integer $n$ for which such a polynomial can have a real root?
$$P(x)=a_{2n}x^{2n}+a_{2n-1}x^{2n-1}+\cdots+a_1x+a_0$$
has every coefficient $a_i$ in $[100,101]$. What is the smallest positive integer $n$ for which such a polynomial can have a real root?