Many polynomial equations need significant rearrangement before they are in a form suitable for the polynomial solver on a calculator. For example, consider (x−4)(x2−1)=(2−x2)(x+1).
a. What are the advantages and disadvantages of:
- ▶ rearranging the equation using algebra and hence using the polynomial solver
- ▶ graphing both sides of the equation on the same set of axes then finding the x -coordinates of any points of intersection?
b. How reliable is technology? For example, can you use your calculator to solve:
- ▶ xx=−1
- ▶ (x2−2)2(70x−99)=0 ?