Question

2. The roots of a polynomial are where the graph crosses the x-axis. Find each of the following polynomials' roots and find the factorization of the polynomial graphed.
Step 1: Identify the roots for each polynomial. You may assume that each graph crosses the axes at a tick mark. (4 points; 2 points each)

Answer 1

The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)

In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0. 

x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x -  8) in our factorization. 

You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.