Final answer:
The zeros of the given factored polynomial are 5 with a multiplicity of 5, and -1 with a multiplicity of 7.
Step-by-step explanation:
The zeros of a polynomial are the values of x that make the polynomial equal to zero.
In the given factored polynomial, the zeros are the values that make each factor equal to zero.
The first factor, (x-5), is equal to zero when x = 5. So, the zero 5 has a multiplicity of 5.
The second factor, (x+1), is equal to zero when x = -1. So, the zero -1 has a multiplicity of 7.