please help! ### Synthetic Division Exercise**Problem Statement:**1. Use synthetic division to perform the division. \[ \frac{x^4 + 5x^3 + 4x^2 - 3x + 9}{x + 3} \]**Solution Explanation:**1. **Set Up the Synthetic Division:** - Write down the coefficients of the polynomial \(x^4 + 5x^3 + 4x^2 - 3x + 9\) which are \(1, 5, 4, -3, 9\). - Write the root of the divisor \(x + 3\), which is \(-3\), to the left. ``` -3 | 1 5 4 -3 9 ```2. **Perform the Division:** - **Step 1:** Bring down the leading coefficient (1). ``` -3 | 1 5 4 -3 9 ---------------- 1 ``` - **Step 2:** Multiply \(-3\) by the number brought down (1), and write the result under the next coefficient (5). ``` -3 | 1 5 4 -3 9 | -3 1 2 ``` - **Step 3:** Add the column, 5 + (-3) = 2. ``` -3 | 1 5 4 -3 9 | -3 -6 1 2 -2 ``` - Repeat the process: ``` -3 | 1 5 4 -3 9 | -3 -6 6 1 2 -2 -9 -3 | 1 5 4 -3 9 | -3 -6 6 -9 1 2 -2 -9 0 ```3. **Result:** - The bottom row represents the coefficients of the quotient and the remainder. - Thus, \(x^

Name: please help! ### Synthetic Division Exercise**Problem Statement:**1. U
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: please help! ### Synthetic Division Exercise**Problem Statement:**1. Use synthetic division to perform the division. \[ \frac{x^4 + 5x^3 + 4x^2 - 3x + 9}{x + 3} \]**Solution Explanation:**1. **Set Up the Synthetic Division:** - Write down th