(a) Complete this synthetic division table. -5longdiv (-1 -5 4 12) square square square square square square (b) Write your answer in the following form: Quotient+(Remainder)/(x+5) (-x^3-5x^2+4x+12)/(x+5)=square +(square )/(x+5)

(a) To complete the synthetic division table, we need to follow these steps:1. Write down the coefficients of the polynomial: -1, -5, 4, 12.2. Bring down the first coefficient (-1) to the quotient row.3. Multiply the divisor (-5) by the value just written in the quotient row (-1) and write the result (-5) in the next column of the quotient row.4. Add the value just written in the quotient row (-5) to the value in the same column of the dividend5) and write the result (0) in the quotient row.5. Repeat steps 3 and 4 until all columns are filled.The completed synthetic division table should look like this: (b) The quotient is 1 and the remainder is 0. Therefore, the answer in the form of Quotient + Remainder/(x+5) is: