(3x4 + 2x3 - x2 - x - 6)/(x2 + 1)
= 3x2 + 2x - 4 + (-3x - 2)/(x2 + 1)
= 3x2 + 2x - 4 - (3x + 2)/(x2 + 1)
where the quotient is 3x2 + 2x - 4 and the remainder is -(3x + 2).
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The quotient works out as: x^2+2x+4 and there is a remainder of -3
3x
That depends on whether or not 2x is a plus or a minus
Dividend: 4x4-x3+17x2+11x+4 Divisor: 4x+3 Quotient: x3-x2+5x-1 Remainder: 7
4.8571