Question 4
Simplify

To simplify the expression , we can start by factoring the numerator. The quadratic can be factored into . Thus, we rewrite the expression as:

At this point, since there are no common factors between the numerator and the denominator, this is the simplified form. However, for a complete picture, the original polynomial division might give us additional insights like identifying rational roots.

If one performs synthetic division or polynomial long division, it could reveal a full quotient and remainder, providing clearer understanding of the expression’s behavior at different x-values, especially at boundaries or intercepts.