Question

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to u dived by v times x?

Answer 1

What you do is set up the expression and then substitute:
$\frac{u(x)}{v(x)*x}=\\\\ \frac{x^{5}-x^{4}+x^{2}}{(-x^{2})*x}\\\\ \frac{x^{2}*(x^{3}-x^{2}+1}{x^{2}*(-x)}\\\\ \frac{-x^{3}+x^{2}-1}{x}$
So your final expression is $\frac{-x^{3}+x^{2}-1}{x}$.