$\begin{array}{l}\phantom{\phantom{;}x^{2}+2;}{\phantom{;}x^{12}\phantom{-;x^n}-2x^{10}\phantom{-;x^n}+4x^{8}\phantom{-;x^n}-8x^{6}\phantom{-;x^n}+16x^{4}\phantom{-;x^n}-32x^{2}\phantom{-;x^n}+64\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+2\overline{\smash{)}\phantom{;}x^{14}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+128\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+2;}\underline{-x^{14}\phantom{-;x^n}-2x^{12}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{14}-2x^{12};}-2x^{12}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+128\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n;}\underline{\phantom{;}2x^{12}\phantom{-;x^n}+4x^{10}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}2x^{12}+4x^{10}-;x^n;}\phantom{;}4x^{10}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+128\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n;}\underline{-4x^{10}\phantom{-;x^n}-8x^{8}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;-4x^{10}-8x^{8}-;x^n-;x^n;}-8x^{8}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+128\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n-;x^n;}\underline{\phantom{;}8x^{8}\phantom{-;x^n}+16x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;\phantom{;}8x^{8}+16x^{6}-;x^n-;x^n-;x^n;}\phantom{;}16x^{6}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+128\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n-;x^n-;x^n;}\underline{-16x^{6}\phantom{-;x^n}-32x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;;-16x^{6}-32x^{4}-;x^n-;x^n-;x^n-;x^n;}-32x^{4}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+128\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{\phantom{;}32x^{4}\phantom{-;x^n}+64x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;;;;;\phantom{;}32x^{4}+64x^{2}-;x^n-;x^n-;x^n-;x^n-;x^n;}\phantom{;}64x^{2}\phantom{-;x^n}+128\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{2}+2-;x^n-;x^n-;x^n-;x^n-;x^n-;x^n;}\underline{-64x^{2}\phantom{-;x^n}-128\phantom{;}\phantom{;}}\\\phantom{;;;;;;-64x^{2}-128\phantom{;}\phantom{;}-;x^n-;x^n-;x^n-;x^n-;x^n-;x^n;}\\\end{array}$

$x^{12}-2x^{10}+4x^{8}-8x^{6}+16x^{4}-32x^{2}+64$