(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).
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
4x2 + 6x - 3 (with no remainder)
6x3+29x2-40x-42 divided by 6x+5 Quotient: x2+4x-10 Remainder: 8
The dividend. Divident / Divisor = Quotient (plus remainder)
The quotient works out as: x^2+2x+4 and there is a remainder of -3
x3+3x2+6x+1 divided by x+1 Quotient: x2+2x+4 Remaider: -3
Quotient: 2x3-x2-14x+42 Remainder: -131 over (x+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
Answer is x2 -6x+14 with remainder 2
4.8571
Dividend: 4x^4 -x^2 +17x^2 +11x +4 Divisor: 4x +3 Quotient: x^3 -x^2 +5x -1 Remainder: 7