Use long division to divide the X= following. Write your remainder as a fraction. (2x^3+7x^2+2x+9)div (2x+3)

To use long division to divide \((2x^3 + 7x^2 + 2x + 9) \div (2x + 3)\), follow these steps:1. **Divide the leading term of the dividend by the leading term of the divisor:** Write above the division line.2. **Multiply the entire divisor by this result and subtract from the dividend:** Subtract this from the original dividend: 3. **Repeat the process with the new polynomial:** Divide the leading term of the new polynomial by the leading term of the divisor: Write above the division line next to .4. **Multiply the entire divisor by this result and subtract from the new polynomial:** Subtract this from the current polynomial: 5. **Continue the process:** Divide the leading term of the remaining polynomial by the leading term of the divisor: Write above the division line next to and .6. **Multiply the entire divisor by this result and subtract from the remaining polynomial:** Subtract this from the current polynomial: The quotient is and the remainder is . Therefore, the final answer is: