Freeflows

Polynomial Integer Solutions

Let $ P(x) $ be a polynomial with integer coefficients that satisfies $ P(17)=10 $ and $ P(24)=17 $. Given that $ P(n)=n+3 $ has two distinct integer solutions $ n_1 $ and $ n_2, $ find $ n_1 $ and $ n_2 $. (Give your answer as a comma-separated list, in either order; for example, "2, 5" or "6, -3".)

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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