Use synthetic division to find (x^2 + 7x + 32) ÷ (x + 5). 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 + 7x + 32) ÷ (x + 5).  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 by using the root of the divisor x + 5, which is -5.Write coefficients of dividend: Write down the coefficients of the dividend x^2 + 7x + 32, which are 1, 7, and 32.Bring down leading coefficient: Bring down the leading coefficient, which is 1.Multiply by -5: Multiply -5 by the number just written below the line, which is 1, and write the result, -5, in the next column under 7.Add numbers in second column: Add the numbers in the second column, 7 + (-5), to get 2. Write this below the line.Multiply by -5 again: Multiply -5 by the new number just written below the line, which is 2, and write the result, -10, in the next column under 32.Add numbers in third column: Add the numbers in the third column, 32 + (-10), to get 22. Write this below the line.Identify quotient and remainder: The numbers below the line represent the coefficients of the quotient polynomial and the remainder. So, the quotient is x + 2 and the remainder is 22.Write final answer: Write the final answer in the form q(x) + r/d(x), where q(x) is x + 2, r is 22, and d(x) is x + 5.

Use synthetic division to find $(x^2 + 7x + 32) \div (x + 5)$ . $\newline$ 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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