4)) 2. Use synthetic division to divide 3x^3-5x+10 by x-1 square vour answor

To use synthetic division to divide by , we follow these steps:1. Write down the coefficients of the polynomial . Note that we need to include coefficients for all powers of from down to the constant term, even if some coefficients are zero. The polynomial can be written as , so the coefficients are .2. Set up the synthetic division. The divisor is , so we use (the root of the divisor) in the synthetic division. 3. Bring down the first coefficient (3) directly below the line. 4. Multiply the number just written below the line by the divisor (1) and write the result under the next coefficient. 5. Add the column of numbers and write the result below the line. 6. Repeat the process: multiply the last number written below the line (-2) by the divisor (1) and write the result under the next coefficient. 7. Add the column of numbers and write the result below the line. The numbers below the line represent the coefficients of the quotient polynomial and the remainder. The quotient polynomial is and the remainder is 8.So, the result of dividing by using synthetic division is: