find the zeros of the function.\ng(x)=x² + 11x\nthe zeros of the function are x = and x =.

Explanation:

Step1: Factor the function

Factor out (x) from (g(x)=x^{2}+11x). (g(x)=x(x + 11))

Step2: Set the function equal to zero

Set (g(x)=0), so (x(x + 11)=0).

Step3: Solve for (x)

Using the zero - product property: if (ab = 0), then (a=0) or (b = 0). For (x(x + 11)=0), we have (x=0) or (x+11=0). Solving (x + 11=0) gives (x=-11).

Answer:

The zeros of the function are (x = 0) and (x=-11).