Question

If u(x) = x^2 – x^4 + x^2 and v(x) = –x2, which expression is equivalent to (u/v)(x)?

x^3 – x^2
–x^3 + x^2
–x^3 + x^2 – 1
x^3 – x^2 + 1

Answer 1

(u/v)(x) =

x^2 - x^4 + x^2

---------------------- = - (1 - x^2 + 1) = - (2 - x^2).

-x^2

I'd suggest you double check to ensure that you've copied down this problem correctly.