Question

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?

Answer 1

Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.

Given the following data:

• u(x) = x⁵ – x⁴ + x²

• v(x) = -x²

What is an expression?

An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.

In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:

u(x) = x⁵ – x⁴ + x²

u(x) = x²(x³ – x² + 1)

Rewriting the expressions as a fraction, we have:

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

Therefore, u(x)/v(x) = -x³ + x² - 1.

Read more on expressions here: brainly.com/question/12189823

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