Consider the part of a graph of a polynomial, p(x), which is shown. Which of the following could be functions that match the graph of p(x)? Choose all that apply:(1 Point)p(x) = (x - 5)(x + 3)(x + 6)p(x) = (x + 5)(x - 3)(x - 6)p(x) = (x - 5)(x + 180)(x + 3)(x + 6)p(x) = (x + 5)(x - 180)(x - 3)(x - 6)None of the above could match the graph of p(x)

Without the graph, it's impossible to definitively answer this question. However, we can make some educated guesses based on the information given in the functions.

1. p(x) = (x - 5)(x + 3)(x + 6): This function has roots at x = 5, x = -3, and x = -6. If the graph has x-intercepts at these points, this could be a possible match.

2. p(x) = (x + 5)(x - 3)(x - 6): This function has roots at x = -5, x = 3, and x = 6. If the graph has x-intercepts at these points, this could be a possible match.

3. p(x) = (x - 5)(x + 180)(x + 3)(x + 6): This function has roots at x = 5, x = -180, x = -3, and x = -6. Unless the graph has an x-intercept at x = -180, this is unlikely to be a match.

4. p(x) = (x + 5)(x - 180)(x - 3)(x - 6): This function has roots at x = -5, x = 180, x = 3, and x = 6. Unless the graph has an x-intercept at x = 180, this is unlikely to be a match.

5. None of the above could match the graph of p(x): If the graph doesn't have x-intercepts at any of the points mentioned above, then none of the given functions would match the graph.

Remember, the roots of a polynomial are the x-values where the function equals zero (i.e., where the graph crosses the x-axis). So, by looking at the roots of the given functions, we can make an educated guess about which function might match the graph.