Answer:
Polynomial has three roots.
B is the correct option.
Step-by-step explanation:
We have been given the function \(y=(x-2)(x+3)^2\)
We know that the number of roots or zeros of a polynomial is equal to the degree of the polynomial.
Let us simplify the given function and find the degree.
\(y=(x-2)(x+3)^2\\\\y=(x-2)(x^2+6x+9)\\\\y=x^3+6x^2+9x-2x^2-12x-18\\\\y=x^3+4x^2-3x-18\)
Since, the degree of the polynomial is 3.
Hence, it must have three zeros or roots.
B is the correct option.
