Let $p(n) \sum_{i=0}^{k} a_{i} n^{i}$ a polynomial in $n lin \mathbb{N} $ with $a_{i} \in \mathbb{R} $. Prove, using the definition of $0(f)$, that $p(n) \in O\left(n^{k} ight) $. Remember that the coefficients can be negative. CS.VS. 1102|| Let $p(n) \sum_{i=0}^{k} a_{i} n^{i}$ a polynomial in $n lin \mathbb{N} $ with $a_{i} \in \mathbb{R} $. Prove, using the definition of $0(f)$, that $p(n) \in O\left(n^{k} ight) $. Remember that the coefficients can be negative. CS.VS. 1102||