Final answer:
To find zeros of a function and determine their multiplicities, one should use a Polynomial root calculator, which identifies the values where the function equals zero and indicates how many times each root occurs.
Step-by-step explanation:
The question is asking how to find the zeros of a function and to determine their multiplicities. When you are looking for a tool to assist with this task, you would refer to such a tool as a Polynomial root calculator. This tool helps to identify the roots (or zeros) of a polynomial equation, which are the values of x where the function equals zero. The multiplicity of a root refers to the number of times that root occurs as a solution to the equation.
To find the zeros of a polynomial function, you would use option D) Polynomial root calculator. You would input the polynomial into the calculator, and it would provide the zeros along with the multiplicity of each zero. For example, if you have a function f(x) = (x - 1)³, the zero of the function is x = 1 with a multiplicity of 3, indicating that the graph of function touches and remains on the x-axis at x=1 for a bit before turning around.