$p(x)=(3x^4-8x^3+15x-40)(3x-8)^2$
Find all the real number roots of $p$ and answer the following questions.
**How many distinct, real number roots does $p$ have ?**
[[☃ math-keypad 1]]
**What is the largest real root of $p\ $?**
*Give your answer using exact terms.*
[[☃ expression 1]]