hard to show long algebraic division, but I got
= 4x^2 - 5x + 8.5 with a remainder of 4.75
same result using synthetic division
-.5 | 4 -3 7 0
......... -2 2.5 4.75
...... 4 -5 9.5 4.75
(4x^3-3x^2+7x)/(x+1/2)
Quotient and remainder
2 answers
A good site that includes polynomial long division, showing the full details is
calc101 . com
calc101 . com