Question

What is the remainder? x⁴ - 3x² + 5x is divided by 2x - 1

Answer 1

$\frac{x^4-3x^2+5x}{2x-1}=\frac{x^3}{2}+\frac{x^2}{4}-\frac{11x}{8}+\frac{29}{16}+\frac{\frac{29}{16}}{2x-1}.$

Remainder: $\frac{29}{16}.$