Question

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

Answer 1

Answer:

$(u/v)(x)=-x^{3}+x^{2}-1$

Step-by-step explanation:

You have the following functions:

$u(x)=x^{5}-x^{4}+x^{2}\\v(x)=-x^{2}$

 Therefore $(u/v)(x)$ indicates that you must divide both functions, as you can see below:

$(u/v)(x)=\frac{x^{5}-x^{4}+x^{2}}{-x^{2}}$

Simplify it. Therefore, you obtain:

$(u/v)(x)=\frac{x^{5}-x^{4}+x^{2}}{-x^{2}}\\\\(u/v)(x)=-x^{3}+x^{2}-1$

Answer 2

Answer:

(u/v)(x) = -x³+x²-1

Step-by-step explanation:

We have given two functions.

u(x) = x⁵ - x⁴ + x² and v (x) = -x²

We have to find the quotient of the given two functions.

(u/v)(x) = ?

The formula to find the quotient is:

(u/v)(x) = u(x) / v(x)

Putting given values in above formula, we have

(u/v)(x) = x⁵-x⁴+x² / -x²

(u/v)(x) = -x²(-x³+x²-1) / -x²

(u/v)(x) = -x³+x²-1 which is the answer.