In this section, we looked at how to solve application problems that use polynomials.  Below are some of the formulas that were used to solve these problems.

Key Concepts

• Perimeter = Sum of the Length of the Sides of a Figure
• Area of a Rectangle  [latex]A=lw[/latex]
• Area of a Circle  [latex]A=\pi{r^2}[/latex]
• Volume of a Cylinder  [latex]V=\pi{r^2}h[/latex]
• A Note about [latex]\pi[/latex]  It is easy to confuse [latex]\pi[/latex] (pronounced “pie”) as a variable because we use a greek letter to represent it.  We use a greek letter instead of a number because nobody has been able to find an end to the number of digits of [latex]\pi[/latex].
• Profit is typically defined in business as the difference between the amount of money earned (revenue) by producing a certain number of items and the amount of money it takes to produce that number of items.
  • [latex]P=R-C[/latex]  where [latex]P[/latex] is profic, [latex]R[/latex] is the revenue generated by selling those items, and [latex]C[/latex] is the cost to a manufacturer to produce a certain number of items.