Answer:
C. 2
Explanation:
A polynomial function has one or more real numbers as roots or zeros. These roots correspond to the values of x for which the function takes on the value of zero.
In this case, y = (x-2)(x+3)², we can factor the equation to find its zeros. The expression (x-2)(x+3)² can be factored into two terms: (x-2) and (x+3)².
The first term, (x-2), is equal to zero when x = 2, meaning that x = 2 is a root of the function.
The second term, (x+3)², is equal to zero when x = -3, meaning that x = -3 is another root of the function.
So, the function y = (x-2)(x+3)² has two roots, or zeros, at x = 2 and x = -3.