how would you solve for this? and what is the answer? 48p^3+2p^5-p^7
solve what? There's no equation. If you want to factor the expression, start by factoring out -p^3:
-p^3(p^4-2p^2-48)
-p^3(p^2-8)(p^2+6)
-p^3(p+2√2)(p-2√2)(p^2+6)
-p^3(p^4-2p^2-48)
-p^3(p^2-8)(p^2+6)
-p^3(p+2√2)(p-2√2)(p^2+6)