Find the division of the following by synthetic division method: $p(x) = x^{3} - 2x^{2} + x - 2$ by $x + 1$.

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(N/A) To divide $p(x) = x^{3} - 2x^{2} + x - 2$ by $x + 1$ using synthetic division,we identify the root of the divisor $x + 1 = 0$,which is $x = -1$.
The coefficients of $p(x)$ are $1, -2, 1, -2$.
Setting up the synthetic division:
$-1$ | $1$ $-2$ $1$ $-2$
| $-1$ $3$ $-4$
-------------------
$1$ $-3$ $4$ $-6$
The coefficients of the quotient polynomial are $1, -3, 4$,which corresponds to $x^{2} - 3x + 4$.
The remainder is $-6$.

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