Answer:
see explanation
Step-by-step explanation:
Divide each term on the numerator by - 4x, that is
= [tex]\frac{16x^5}{-4x}[/tex] - [tex]\frac{4x^3}{-4x}[/tex] + [tex]\frac{12}{-4x}[/tex]
= - 4[tex]x^{(5-1)}[/tex] + [tex]x^{(3-1)}[/tex] - [tex]\frac{3}{x}[/tex]
= - 4[tex]x^{4}[/tex] + x² - [tex]\frac{3}{x}[/tex], or
= - 4[tex]x^{4}[/tex] + x² - 3[tex]x^{-1}[/tex]
