#### Answer

2 Zeros

#### Work Step by Step

The number of zeros of the function is determined by the degree of the polynomial. The degree is the high value exponent of x. For example:
y = x is a first degree since x has an exponent of 1.
y = $x^{2}$ is a second degree polynomial since x has an exponent of 2.
The number of zeros is the degree of the polynomial.
We first need to expand this polynomial to evaluate:
f(x) = $(x + 5)^{2}$ = $x^{2}$ + 10x + 25
In this example, the highest exponent (degree of the polynomial) on the x is 2, so there are 2 zeros.