Unit 1: Introduction to Polynomial Functions Activity 6: Applications of polynomials functions

1. Is x3 - 13x - 12 is divisible by x2 - x - 12 ? Explain your answer.

2. Determine the value of k when x3 + kx2 + 2x - 3 is divided by x + 2, and the remainder is 1.

3. A rectangular shipping container has a volume of 1008 cm3 . If the piece of rectangular cardboard that the container is made from has dimensions 30 cm by 20 cm, what are the dimensions of the container? Remember, you will be cutting squares out the of corners of the cardboard material to create the container.