$p(x)=x^5-8x^4-3x^2+24x$
Find all the real number roots of $p$ and answer the following questions.
**How many distinct, real number roots does $p$ have ?**
[[☃ numeric-input 1]]
**What is the smallest real root of $p\ $?**
*Give your answer using exact terms.*
[[☃ expression 1]]