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Use synthetic division to find .Write your answer in the form , where is a polynomial, is an integer, and is a linear polynomial. Simplify any fractions.______
Full solution
Q. Use synthetic division to find .Write your answer in the form , where is a polynomial, is an integer, and is a linear polynomial. Simplify any fractions.______
- Set up synthetic division: Set up synthetic division with as the zero of , and write the coefficients of : , , .
- Bring down first coefficient: Bring down the as the first coefficient of the quotient.
- Multiply and write result: Multiply by and write the result, , under the second coefficient, .
- Add second column: Add the second column: , and write the result below the line.
- Multiply and write result: Multiply by and write the result, , under the third coefficient, .
- Add third column: Add the third column: , and write the result below the line.
- Identify quotient and remainder: The numbers below the line are the coefficients of the quotient polynomial and the remainder. The quotient is and the remainder is .
