Writing a Polynomial Function

This lesson teaches how to write a polynomial function by analyzing a physical context. It begins with an introduction to polynomial functions, explaining their components such as coefficients and degree. The lesson then transitions to a practical example of creating a box from a piece of cardboard, focusing on deriving a formula for the volume of the box as a function of its height. The process involves cutting squares from the corners and folding the cardboard. Finally, the lesson demonstrates how to express the volume function in standard polynomial form, emphasizing the conversion from factored form.

What is the significance of the coefficients in a polynomial function?

How can the volume function V(H) be expressed in terms of height only?

What is the difference between factored form and standard form of a polynomial function?