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If , use synthetic division to find .
Full solution
Q. If , use synthetic division to find .
- Write coefficients and value: To use synthetic division, we first write down the coefficients of the polynomial and the value for we want to evaluate, which is .
- Set up synthetic division: Set up synthetic division by writing on the left side and the coefficients , , and on the right side.
- 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 next coefficient, .
- Add and write result: Add and to get . Write this number under the line.
- Multiply and write result: Multiply by and write the result, , under the last coefficient, .
- Add and find remainder: Add and to get . This is the remainder and also the value of .
