Use synthetic division to find (x^2 + 6x - 18) ÷ (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 (x^2 + 6x - 18) ÷ (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 3 as the root from (x - 3) and the coefficients of the polynomial x^2 + 6x - 18, which are 1, 6, and -18.Bring down leading coefficient: Bring down the leading coefficient, which is 1.Multiply root by leading coefficient: Multiply the root, which is 3, by the leading coefficient, 1, and write the result, 3, under the second coefficient, 6.Add second coefficient and result: Add the second coefficient, 6, and the result from the previous step, 3, to get 9. Write this under the line.Multiply root by new number: Multiply the root, 3, by the new number, 9, and write the result, 27, under the third coefficient, -18.Add third coefficient and result: Add the third coefficient, -18, and the result from the previous step, 27, to get 9. Write this under the line; this is the remainder.Identify quotient and remainder: The numbers on the bottom line are the coefficients of the quotient polynomial q(x), and the last number is the remainder. So, q(x) = x + 9 and the remainder is 9.Write final answer in form: Write the final answer in the form q(x) + r/d(x). The quotient polynomial is x + 9, the remainder is 9, and the divisor is x - 3. So, the final answer is (x + 9) + 9/(x - 3).

Use synthetic division to find $(x^2 + 6x - 18) \div (x - 3)$ . $\newline$ 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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