If u(x)=x^5-x^4+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Accepted Solution
A:
Answer: [tex](u/v)(x)=-x^{3}+x^{2}-1[/tex]Step-by-step explanation: You have the following functions: [tex]u(x)=x^{5}-x^{4}+x^{2}\\v(x)=-x^{2}[/tex] Therefore [tex](u/v)(x)[/tex] indicates that you must divide both functions, as you can see below: [tex](u/v)(x)=\frac{x^{5}-x^{4}+x^{2}}{-x^{2}}[/tex] Simplify it. Therefore, you obtain: [tex](u/v)(x)=\frac{x^{5}-x^{4}+x^{2}}{-x^{2}}\\\\(u/v)(x)=-x^{3}+x^{2}-1[/tex]