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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 synthetic division with outside the division box and the coefficients of inside: , , and .
- Bring down leading coefficient: Bring down the leading coefficient, , to the bottom row.
- Multiply and write result: Multiply by and write the result, , under the second coefficient, .
- Add and write result: Add and to get , and write this under the line.
- Multiply and write result: Multiply by and write the result, , under the third coefficient, .
- Add and write result: Add and to get , and write this under the line.
- Identify coefficients and remainder: The numbers on the bottom row are the coefficients of the quotient polynomial and the remainder. The remainder is the value of .
