Use synthetic division to find (x^2 + x - 2) ÷ (x + 2). 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 + x - 2) ÷ (x + 2).  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 writing the coefficients of x^2 + x - 2, which are 1, 1, and -2. Then write the root of x + 2, which is -2, to the left.Bring down leading coefficient: Bring down the leading coefficient, which is 1.Multiply and add coefficients: Multiply the root -2 by the leading coefficient 1 and write the result under the second coefficient.Continue with multiplication and addition: Add the second coefficient 1 and the result of the multiplication -2 * 1, which is -2. Write the sum, which is -1, under the line.Check for exact division: Multiply the root -2 by the new number -1 and write the result, which is 2, under the third coefficient.Add the third coefficient -2 and the result of the multiplication -2 * -1, which is 2. Write the sum, which is 0, under the line.The numbers below the line represent the coefficients of the quotient polynomial q(x). Since there is no remainder, r is 0 and the division is exact.

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