advanced algebra

Question

use synthetic division to divide x^4 + 5x^3 + 6x^2 - x - 2 by x +2

Answer 1

It may be hard to show this

-2 | 4 5 6 -1 -2

-8 6 -24 50

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4 -3 12 -25 48

This says the quotient is $4x^3-3x^2+12x-25$ and the remainder is 48