Answer
$x\to -\infty, y\to \infty$ and $x\to \infty, y\to -\infty$ for both functions.
See graphs below.
Work Step by Step
We have $P(x)=-x^5+2x^2+x, Q(x)=-x^5$
As $x\to -\infty, y\to \infty$ and $x\to \infty, y\to -\infty$ for both functions.