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If , use synthetic division to find .
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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 . Then we write to the left, which is the value we are evaluating for.
- Bring Down Leading Coefficient: Bring down the leading coefficient, which is , to the bottom row.
- Multiply and Write Result: Multiply by the number we just brought down and write the result under the next coefficient. So, .
- Add Second Coefficient: Add the second coefficient, , to the result of the multiplication, . This gives us .
- Multiply and Write Result: Now, multiply by the new number in the bottom row, , and write the result under the next coefficient. So, .
- Add Third Coefficient: Add the third coefficient, , to the result of the multiplication, . This gives us .
- Final Result: The number at the bottom right, , is the value of .
