1. Let's start by understanding what a sign table is. A sign table helps us determine where a function or expression is positive, negative, or zero based on its critical points or roots. 2. To create a correct sign table, first find the critical points by solving the equation where the function equals zero. 3. Then, divide the number line into intervals using these critical points. 4. Test a value from each interval in the original function to determine the sign (positive or negative) in that interval. 5. Make sure to include the points where the function equals zero and indicate them clearly in the table. 6. If you provide the specific function or expression, I can help you create the correct sign table step-by-step.