Answer:
C.
Step-by-step explanation:
The zeros of a polynomial are the x-intercepts of the function. To find them, we factor the polynomial and set each factor equal to 0.
This polynomial is already factored so set each to 0 and solve for x.
[tex]x-5=0\\x=5\\(x+2)^{2}=0 \\(x+2)=0\\x=-2[/tex]
This means x=-2, 5. Each zero or root has a multiplicity - the number of times the factor occurs. This is also known as the exponent of the factor expression.
(x+5) occurs once since it has exponent 1.
[tex](x+2)^{2}[/tex] occurs twoce since it has exponent 2.
x=5 mult. 1, x=-2 mult. 2
