# Applications of polynomials: $x^2 + bx + c$

### Applications of polynomials: $x^2 + bx + c$

In this section, we will apply all the techniques of polynomial factoring to solve word problems related to geometric objects.

#### Lessons

• 1.
Factoring Word Problems
a)
The volume of a rectangular prism is $(k^3+7k^2+12k)$ $m^3$. Find the dimensions in terms of k.

b)
A sheet of cardboard is 5 m by 7 m and has squares x m wide cut from each corner.
The sides are folded up to become an open-top box.
Find the volume of the box in a factored form.