5) \( n^{2}-10 n+9 \)

This quadratic expression can be solved by factoring it into simpler components. Here’s a fun twist: think of the expression as a garden where you want to find the roots (or the places where no flowers grow!). By factoring, you get \( (n-1)(n-9) \). So, the "flowers" are absent at \( n = 1 \) and \( n = 9 \). Now, if you want to unleash this polynomial into the wild, consider how it might represent a scenario in which you want to optimize profits. If \( n \) signifies the number of products produced, then you can understand how adjusting this number—taking into account your costs and benefits defined by the quadratic—could help maximize earnings or minimize costs in a real-life business setting.