Use synthetic division to divide. (x^2+5x-36)/(x+9) __ (x^2+5x-36)/(x+9)= square

To use synthetic division to divide , we first need to rewrite the divisor in the form . We can do this by setting , which gives us . So, we will use for synthetic division.The coefficients of the polynomial are .Now, we set up the synthetic division: Here's the step-by-step process:1. Bring down the first coefficient (1).2. Multiply -9 by the value just written below the line (1), which gives -9. Write this under the next coefficient (5).3. Add the values in the second column: \(5 + (-9) = -4\). Write this result below the line.4. Multiply -9 by the value just written below the line (-4), which gives 36. Write this under the next coefficient (-36).5. Add the values in the third column: . Write this result below the line.The final row gives us the coefficients of the quotient polynomial. Since the remainder is 0, the quotient polynomial is .Therefore, .