Explanation:

- To find the value of \( p \), substitute \( k + 3 \) to match the scenario described.

- \( p = -2 \times \sqrt{k + 3} \) implies that \( p \) is always negative, regardless of the value of \( k \).

- Since \( 2 \times \sqrt{k + 3} \) is positive, multiplying by -2 makes it negative.

- Therefore, \( p \) cannot be positive.

- Option 1: 6 is incorrect, as \( p \) must be negative.

- Option 2: -6 is possible if \( \sqrt{k + 3} = 3 \).

- Option 3: 6 or -6 is incorrect, as \( p \) is never positive.

- Option 4: 9 is incorrect, as \( p \) is negative.

- Option 5: None of the above is incorrect since -6 is viable.

The correct answer is Option 2: -6.

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