Polynomial Equations Practice Test

The graph of a polynomial crosses the $x$-axis at $x=-2$ and $x=3$, and just touches (bounces off) the $x$-axis at $x=1$. Which polynomial could represent this behavior with the least possible degree and leading coefficient $1$?

On the coordinate plane, a polynomial curve touches the $x$-axis at $x=-2$ (does not cross) and crosses the $x$-axis at $x=1$. Which polynomial matches this intercept behavior with the least possible degree and a positive leading coefficient?