Question Number 97067 by student work last updated on 06/Jun/20
$$\mathrm{if}\:\mathrm{p}\:\mathrm{is}\:\mathrm{the}\:\mathrm{natural}\:\mathrm{number}\:\mathrm{then}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{degree}\:\mathrm{of} \\ $$$$\mathrm{x}^{\mathrm{6p}+\mathrm{1}} +\mathrm{3x}^{\mathrm{4p}−\mathrm{3}} +\mathrm{4x}^{\mathrm{8p}−\mathrm{10}} +\mathrm{8}\:\:\mathrm{polynomial}? \\ $$
Commented by mr W last updated on 06/Jun/20
$${max}\left(\mathrm{6}{p}+\mathrm{1},\:\mathrm{4}{p}−\mathrm{3},\:\mathrm{8}{p}−\mathrm{10}\right) \\ $$$$=\begin{cases}{\mathrm{6}{p}+\mathrm{1}\:{for}\:{p}\leqslant\mathrm{5}}\\{\mathrm{8}{p}−\mathrm{10}\:\:{for}\:{p}\geqslant\mathrm{6}}\end{cases} \\ $$
Answered by Hafeezullah last updated on 06/Jun/20
$$−{o}\mathrm{10} \\ $$
Answered by Hafeezullah last updated on 06/Jun/20
$$\mathrm{8}{p}−\mathrm{10} \\ $$