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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 the synthetic division by writing down the coefficients of the polynomial and the root we're testing, which is . Coefficients: Root:
- Begin division: Begin synthetic division. Bring down the leading coefficient, which is .
- Multiply and write result: Multiply the root by the leading coefficient and write the result under the next coefficient .
- Add numbers in column: Add the numbers in the second column: .
- Multiply and write result: Multiply the root by the result from the previous step and write the result under the next coefficient .
- Add numbers in column: Add the numbers in the third column: .
- Find remainder: The result of the synthetic division gives us the remainder, which is the value of . The remainder is .
