Find all the real zeros of the polynomial $$P(x)=x^3 - 5 x+ 2 .$$
Enter the real zeros as a comma-separated list:

Note: Give exact answers; no decimals. If needed, enter square root as sqrt, e.g. the square root of 2 should be entered as sqrt(2).

When $x\to\infty$, $P(x)\to$
When $x\to-\infty$, $P(x)\to$

Note: If your answer is $\infty$, enter infinity ; if your answer is $-\infty$, enter -infinity .