Deconstructing Complicated Expressions Practice Test

It is the quotient of two entities: the numerator $x^2+3x-2$ divided by the denominator $x-1$; changing $x$ changes both entities, but they play different roles (top vs. bottom).

It shows $x^2+3x-2$ does not depend on $x$ because it is grouped together in the numerator.

It means $x^2 + 3x - \frac{2}{x} - 1$, so the denominator only affects the constant term.

It is the product of $(x^2+3x-2)$ and $(x-1)$, so both parts scale together as $x$ changes.