8. \(\mathrm { p } ( x ) = x ^ { 4 } - ( x - 2 ) ^ { 4 }\).
- Show that ( \(x - 1\) ) is a factor of \(\mathrm { p } ( x )\).
- Show that
$$\mathrm { p } ( x ) = 8 x ^ { 3 } - 24 x ^ { 2 } + 32 x - 16$$
- Find the quotient and remainder when \(\mathrm { p } ( x )\) is divided by ( \(x + 1\) ).