Adapt Example 15.4.1 to Laguerre polynomials. That is, compute and plot Laguerre polynomials up to degree 10. Use \([0, 5]\) as an interval for plotting since we cannot plot on \([0, \infty)\text{.}\) Also, comment on some pattern you observe in their behavior.
Adapt Example 15.4.2 to Laguerre polynomials. That is, compute and plot the roots of Laguerre polynomials of degrees 2 to 10. Also, comment on some pattern you observe in their behavior.