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If , use synthetic division to find .
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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 for we are evaluating, which is . Coefficients of : , , Value for :
- Begin synthetic division: Begin synthetic division. Bring down the leading coefficient, which is .
- Multiply and add coefficients: Multiply the value we brought down by the value for and write the result under the next coefficient \-21.
- Repeat multiplication step: Add the result to the next coefficient to get the new coefficient.
- Add result to next coefficient: Repeat the multiplication step with the new coefficient () and the value for ().
- Find remainder: Add the result () to the next coefficient () to get the new coefficient.
- Find remainder: Add the result to the next coefficient to get the new coefficient.The last number we get is the remainder, which represents the value of at .
