If u(x) = x^5 - x^4 + x^2 and v(x) = -x^2, which expression is equivalent to (u/v)(x)

A) x^3 - x^2

B) -x^3 + x^2

C) -x^3 + x^2 - 1

D) x^3 - x^2 + 1

Respuesta :

[tex]\dfrac{u(x)}{v(x)}=\dfrac{x^5-x^4+x^2}{-x^2}=\dfrac{x^5}{-x^2}-\dfrac{x^4}{-x^2}+\dfrac{x^2}{-x^2}\\\\=-x^3+x^2-1[/tex]

The appropriate choice is ...
  C) -x^3 + x^2 - 1