Using synthetic division, what is the quotient (2x3 − 2x − 12) ÷ (x − 2)? 2x2 + 4x + 6 2x2 − 4x + 6 2x2 + 4x − 6 2x2 + 4x − 6 + 1 over the quantity of x minus 2

The answer to your question would be 2x^2+4x+6

Step-by-step explanation:

Given the dividend and divisor we have to find the remainder using synthetic division.

The given polynomial is divided by (x-2).

Step 1: Set up the synthetic division.

The dividend goes on the inside of the box.

Step 2:  Bring down the leading coefficient to the bottom row.

Step 3:  Multiply c i.e 2 by the value just written on the bottom row.

Step 4:  Add the column created in step 3 and  write the sum in the bottom row.

Repeat steps 1-4 until the last column.

From the last row the remainder becomes

Hence, option A is correct.

146%

step-by-step explanation: