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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 and the value we are evaluating, which is . Coefficients: , , Value to evaluate:
- Bring down leading coefficient: Begin synthetic division. Bring down the leading coefficient, which is .
- Multiply and add: Multiply the value we brought down () by and write the result under the next coefficient ().
- Repeat multiplication and addition: Add the result to the next coefficient to get the new coefficient.
- Find the remainder: Multiply the new coefficient () by and write the result under the next coefficient ().
- Find the remainder: Multiply the new coefficient by and write the result under the next coefficient . Add the result to the next coefficient to get the new coefficient.
- Find the remainder: Multiply the new coefficient by and write the result under the next coefficient . Add the result to the next coefficient to get the new coefficient. The last number obtained is the remainder, which represents the value of .
