9. What are the zeros of the quadratic function shown below? $$ y=(x-m)(x+n) $$ a. $$ m $$ and $$ n $$ b. $$ -m $$ and $$ n $$ c. $$ m $$ and $$ -n $$ d. The zeros cannot be determined for the function.

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To find the zeros of the quadratic function given by

$$
y = (x - m)(x + n),
$$

we need to set $$ y $$ equal to zero and solve for $$ x $$:

$$
0 = (x - m)(x + n).
$$

This equation will be satisfied when either factor is equal to zero:

1. $$ x - m = 0 $$  →  $$ x = m $$
2. $$ x + n = 0 $$  →  $$ x = -n $$

Thus, the zeros of the function are $$ m $$ and $$ -n $$.

Now, let's analyze the options provided:

a. $$ m $$ and $$ n $$  
b. $$ -m $$ and $$ n $$  
c. $$ m $$ and $$ -n $$  
d. The zeros cannot be determined for the function.

The correct answer is:

**c. $$ m $$ and $$ -n $$**.
The zeros of the function are $$ m $$ and $$ -n $$.

What are the zeros of the quadratic function shown below?

a. and
b. and
c. and
d. The zeros cannot be determined for the function.

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What are the zeros of the quadratic function shown below? a. and b. and c. and d. The zeros cannot be determined for the function.