Answer to Question #236766 in Calculus for CCW

Question

Synthetic Division:

1. (3.) (3x^5 - 2x^3 + 5x^2 - x+3) / (3x-2)

Answer 1

$\frac{(3x^5 - 2x^3 + 5x^2 - x+3) }{ (3x-2)}$

$=x^4+\frac{2x^3}{3}- \frac{2x^2}{9}+ \frac{41x}{27}+ \frac{55}{81}+ \frac{\frac{353}{81}}{3x-2}$