Question

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

Answer 1

`(u(x))/(v(x))=(x^5-x^4+x^2)/(-x^2)=(x^5)/(-x^2)-(x^4)/(-x^2)+(x^2)/(-x^2)\\\\=-x^3+x^2-1`

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