Use synthetic division to find (5x^2 - 14x + 27) ÷ (x - 3). 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 (5x^2 - 14x + 27) ÷ (x - 3).  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 the root of the divisor, which is 3, and the coefficients of the dividend, which are 5, -14, and 27.Bring down leading coefficient: Bring down the leading coefficient, which is 5.Multiply root by coefficient: Multiply the root by the leading coefficient we just brought down, which is 3 * 5 = 15, and write this number under the second coefficient, -14.Add numbers in second column: Add the numbers in the second column, -14 + 15 = 1, and write this number below the line.Multiply root by new number: Multiply the root by the new number we just got, which is 3 * 1 = 3, and write this number under the third coefficient, 27.Add numbers in third column: Add the numbers in the third column, 27 + 3 = 30, and write this number below the line.Write result of synthetic division: Write the result of synthetic division in the form q(x) + r/d(x), where q(x) is the quotient polynomial and r is the remainder. The coefficients from the synthetic division give us q(x) = 5x + 1 and the remainder is 30.

Use synthetic division to find $(5x^2 - 14x + 27) \div (x - 3)$ . $\newline$ 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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