With synthetic division on real answers !

the quotient is 1x^2 - 2x + 0, and the remainder is -1.

Step-by-step explanation:

The polynomial x^3 - x^2 - 2x should be rewritten as x^3 - x^2 - 2x + 0.  Recall that a polynomial of order n has n + 1 terms.  It just so happens that the polynomial given here has a zero constant term.

If we are to divide x^3 - x^2 - 2x + 0 by x + 1, we must use -1 as the divisor in synthetic division.

Thus, we end up with this synthetic division setup:

-1    /    1    -1    -2    0

                -1      2    -1

            1    -2     0     -1

Thus, the quotient is 1x^2 - 2x + 0, and the remainder is -1.

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step-by-step explanation: