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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 by writing the root of the divisor as and the coefficients of the dividend as , , and .
- Perform synthetic division: Perform synthetic division: \left|\begin{array}{ccc}\(\newline1 & 3 & 2 (\newline\)& -2 & -2 (\newline\)\hline1 & 1 & 0\end{array}\right.\)The new row of numbers represents the coefficients of the quotient polynomial and the remainder.
- Write quotient polynomial: Write the quotient polynomial using the new coefficients: .
- Final answer: Since the remainder is , write the final answer as with no remainder: .
