Final answer:
The zeros of the function f(x) = -(x+3)(x + 10) are -3 and -10, with -10 being the smaller zero and -3 the larger zero. The zeros of the function are x = -10 and x = -3.
Step-by-step explanation:
The zeros of the function f(x) = -(x+3)(x + 10) are the values of x that make the function equal to zero. To find them, we set f(x) to zero and solve for x:
0 = -(x+3)(x + 10)
We have two factors here, and setting each factor equal to zero, we get:
- x + 3 = 0 → x = -3
- x + 10 = 0 → x = -10
Therefore, the zeros of the function are -3 and -10. According to the instruction to write the smaller first, we have:
smaller x = -10
larger x = -3