Question

The graph of f(x) is shown below. (Image attached). Use the graph to find the real roots of the polynomial represented and their subsequent factors. Then, determine the root that has an odd multiplicity. Compare that factor to the Code Breaker Guide to find the eighth piece of the code.The code breaker guide is part of my project, ignore that part. Thank you so much.

Answer 1

The roots are the values for x where the function equal 0.

We can check in the graph that f(-2) = f(4) = 0. Therefore, the roots are -2 and 4.

Then, the factors are (x + 2) and (x - 4)

The function has a local maximum at (-2,0). Therefore, the factor (x - 4) is the one that has an odd multiplicity.