NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Give as good a big$-$O estimate as possible for each of the following functions.

Ch $03$ Sec $2$ Ex $25($a$)-$ Big O Estimates

$f(n)=(n^2+8)(n+1)$

Multiple Choice

$O(n^3)$

$O(n)$

$O(n^5)$

$O(n^7)$