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\frac{2x^{4}-3x^{3}+x^{2}+0+1}{x-2}
Anything times zero gives zero.
\frac{2x^{4}-3x^{3}+x^{2}+1}{x-2}
Add 0 and 1 to get 1.
\frac{2x^{4}-3x^{3}+x^{2}+0+1}{x-2}
Anything times zero gives zero.
\frac{2x^{4}-3x^{3}+x^{2}+1}{x-2}
Add 0 and 1 to get 1.