Use synthetic division to divide. (2x^3-6x+8x^2-24)/(x+4) square xneq -4

To use synthetic division to divide , we first rewrite the divisor as \( x - (-4) \). Then, we set up the synthetic division as follows:1. Write down the coefficients of the polynomial: .2. Use the root for synthetic division. The steps are:- Bring down the first coefficient (2).- Multiply -4 by the value just written below the line and write the result under the next coefficient.- Add the column of numbers and write the result below the line.- Repeat the process for each column.The quotient is given by the numbers on the bottom row, excluding the remainder. Therefore, the quotient is .So, the answer is: