Use synthetic division to find (x^2 - 4x + 34) ÷ (x - 1). Write your answer in the form q(x) + r/d(x), where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions. ______

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Use synthetic division to find (x^2 - 4x + 34) ÷ (x - 1).  Write your answer in the form q(x) + r/d(x), where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions. ______

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Set up synthetic division: Set up synthetic division with 1 as the zero from (x - 1) and the coefficients of the polynomial x^2 - 4x + 34, which are 1, -4, and 34.Bring down leading coefficient: Bring down the leading coefficient, which is 1.Multiply zero by leading coefficient: Multiply the zero (1) by the leading coefficient (1) and write the result under the next coefficient (-4).Add numbers in second column: Add the numbers in the second column: -4 + (1 * 1) = -3.Multiply zero by number obtained: Multiply the zero (1) by the number just obtained (-3) and write the result under the next coefficient (34).Add numbers in third column: Add the numbers in the third column: 34 + (1 * -3) = 31.Write result of synthetic division: Write the result of synthetic division as a polynomial q(x) plus the remainder over the divisor: q(x) = x - 3 and the remainder is 31.Express final answer: Express the final answer in the form q(x) + r/d(x): (x - 3) + 31/(x - 1).

Use synthetic division to find $(x^2 - 4x + 34) \div (x - 1)$ . $\newline$ Write your answer in the form $q(x) + \frac{r}{d(x)}$ , where $q(x)$ is a polynomial, $r$ is an integer, and $d(x)$ is a linear polynomial. Simplify any fractions. $\newline$ _________

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