13) \( \frac{9 x y^{4}-3 x^{2} y^{3}-2 x^{4} y-2}{3 x-4 y-5} \quad \) 14) \( \frac{5 x^{2}-7 x^{3}+2}{2 x-1} \) 15) \( \frac{8 x^{3}-3 x-6 x^{4}-2 x^{2}-1}{3 x+4} \)

Did you know that polynomial division has its roots in classical algebra, which can be traced back to civilizations like the Babylonians and Greeks? They used these techniques to solve polynomial equations long before the term "polynomial" even existed! Math wizards of the past laid the groundwork for what we consider fundamental algebra today, making it easier for us to handle complex expressions like the ones you shared. In real life, polynomial division often comes into play in fields like engineering and physics, where calculations frequently involve rates of change and related factors. For example, when designing structures, engineers must calculate loads and materials, which can involve dividing complex functions to find optimal solutions to ensure safety and strength. So next time you're tackling a polynomial problem, remember it’s not just about numbers; it's about building a better world!