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If , use synthetic division to find .
Full solution
Q. If , use synthetic division to find .
- Set up synthetic division: Set up synthetic division with as the root we're testing and the coefficients of as , , and .
- Write down coefficients: Write down the coefficients: , , . Place to the left, outside the division symbol.
- Bring down first coefficient: Bring down the first coefficient, , to the bottom row.
- Multiply and write result: Multiply by and write the result, , under the second coefficient, .
- Add numbers in second column: Add the numbers in the second column: .
- Multiply and write result: Multiply by and write the result, , under the third coefficient, .
- Add numbers in third column: Add the numbers in the third column: .
- Final result: The number at the bottom right, , is the value of .
