Factor the polynomial $\displaystyle {t}^{{7}}+{6}{t}^{{6}}-{16}{t}^{{5}}$. Your answer can be written as $\displaystyle {t}^{{N}}{\left({t}+{A}\right)}{\left({t}+{B}\right)}$ where $\displaystyle {A}\lt{B}$.
$\displaystyle {N}$ equals:


and $\displaystyle {A}$ equals:


and $\displaystyle {B}$ equals: