What is the quotient of the synthetic division problem below, written in polynomial form?

-3 | 1 6 10 3

c)  x² + 3x + 1

Step-by-step explanation:

-3 /  1         6          10         3

                 -3          -9         -3          

      1         3             1          0

 x² + 3x + 1

Step 1: Carry down the first number 1 as it is

Step 2:  Multiply 1 by -3 (1 * -3 = -3) and write this -3 under the next number 6 and then add. 6 + (-3) = 3

Step 3: Multiply this 3 by -3 (3 * -3 = -9) and write this -9 under the next number 10 and then add.10 +[-9] = 1

Step 4: Multiply 1  by -3 (1 * -3 = -3) and write this -3 under the next number 3 and then add. -3 +[-3] = 0