Perform the division: $x^{4} - 16$ by $x - 2$

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Solution

Steps:
1) Multiply $x - 2$ with $x^{3}$ , to get $x^{4}$ , Remainder $= 2 x^{3} - 16$
2) Multiply $(x - 2)$ with $2 x^{2}$ , to get $2 x^{3}$ , Remainder $= 4 x^{2} - 16$
3)Multiply $(x - 2)$ with $4 x$ to get, $4 x^{2}$ , Remainder $= 8 x - 16$
4) Multiply $(x - 2)$ with $8$ to get, $8 x$ , Remainder $= 0$

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