Applications of polynomials: x2+bx+cx^2 + bx + c

Applications of polynomials: x2+bx+cx^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 (k3+7k2+12k)(k^3+7k^2+12k) m3m^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.