Answer:
- x² + x - 1
Step-by-step explanation:
(f / g)(x)
= [tex]\frac{x^4-x^3+x^2}{- x^2}[/tex]
divide each term on the numerator by - x²
= [tex]\frac{x^4}{- x^2}[/tex] - [tex]\frac{x^3}{-x^2}[/tex] + [tex]\frac{x^2}{-x^2}[/tex]
= - [tex]x^{4-2}[/tex] + [tex]x^{3-2}[/tex] - [tex]x^{2-2}[/tex]
= - x² + x - [tex]x^{0}[/tex] = - x² + x - 1
