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If , use synthetic division to find .
Full solution
Q. If , use synthetic division to find .
- Set Up Synthetic Division: We need to set up synthetic division with as the root we're testing.Write down the coefficients of : , , and .
- Place Root and Coefficients: Place the root () on the left side and the coefficients on the right side to start synthetic division.
- Bring Down First Coefficient: Bring down the first coefficient () as is.
- Multiply and Write Result: Multiply the root by the number we just brought down and write the result under the next coefficient .
- Add Numbers in Second Column: Add the numbers in the second column to get . Write this number below the line.
- Multiply and Write Result: Multiply the root by the new number we got and write the result under the next coefficient .
- Add Numbers in Third Column: Add the numbers in the third column to get . Write this number below the line.
- Find Remainder: The number at the bottom () is the remainder, which represents the value of .
