Question

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

polynomial form?
________
-3 | 1 6 10 3

Answer 1

c) x² + 3x + 1

Explanation:

-3 / 1 6 10 3

-3 -9 -3

1 3 1 0

Answer: 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