Given that $x$ is positive and less than 1, which of the following numbers is the largest?

$x^2 + x$, $x^2$, $x^3$, $x^3 + x^2$, $x^4$.

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.**View the archive of all weekly problems grouped by curriculum topic*

View the current weekly problem