Given n data values, an algorithm processes these n data values with a running time given by the equation T$($n$)=7$n$3+$ n $+12.$ Which of the following statements is true about T$($n$)?$

Group of answer choices

T$($n$)$ is in Big O$($ n$*$n$*$n $)$ because with a c of $1$ and a n$0=20,$ c $*$ T$($n$)$ is less than Big O$($ n$*$n$*$n $)$ for all n $>=$ n$0$

Actually, T$($ n $)$ is not in Big O$($ n$*$n$*$n $)$

T$($n$)$ is in Big O$($ n$*$n$*$n $)$ because with a c of $7$ and a n$0=1,$ c $*$ T$($n$)$ is less than Big O$($ n$*$n$*$n $)$ for all n $>=$ n$0$

T$($n$)$ is in Big O$($ n$*$n$*$n $)$ because with a c of $20$ and a n$0=1,$ c $*$ T$($n$)$ is less than Big O$($ n$*$n$*$n $)$ for all n $>=$ n$0$