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

To use synthetic division to divide , we first need to rewrite the polynomial in standard form and then perform the synthetic division.The polynomial in standard form is: We will divide this by . In synthetic division, we use the root of the divisor , which is .Set up the synthetic division:1. Write down the coefficients of the polynomial: .2. Use as the divisor. Here’s the step-by-step process:1. Bring down the first coefficient (2).2. Multiply by the value just written below the line (2), giving .3. Add this result to the next coefficient (8), giving .4. Multiply by the new value (0), giving .5. Add this result to the next coefficient (-6), giving .6. Multiply by the new value (-6), giving .7. Add this result to the next coefficient (-24), giving .The final row gives the coefficients of the quotient polynomial and the remainder. Since the remainder is 0, the quotient polynomial is: Thus, the result of the division is: