# SOLUTION: Divide (2x^3-8x^2-4x-6)/(x-3) using synthetic division

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 Click here to see ALL problems on Equations Question 205263: Divide (2x^3-8x^2-4x-6)/(x-3) using synthetic divisionAnswer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!Divide using synthetic division ``` Change the sign of the in to Start with this 3 | 2 -8 -4 -6 | ------------- Bring down the 2 3 | 2 -8 -4 -6 | ------------- 2 Multiply the 2 by the 3, getting 6. Then write it above and to the right of the 2: 3 | 2 -8 -4 -6 | 6 ------------- 2 Combine the -8 and the 6, getting -2 and write it at the bottom: 3 | 2 -8 -4 -6 | 6 ------------- 2 -2 Multiply the -2 by the 3, getting -6. Then write it above and to the right of the -2: 3 | 2 -8 -4 -6 | 6 -6 ------------- 2 -2 Combine the -4 and the -6, getting -10 and write it at the bottom: 3 | 2 -8 -4 -6 | 6 -6 ------------- 2 -2 -10 Multiply the -10 by the 3, getting -30. Then write it above and to the right of the -10: 3 | 2 -8 -4 -6 | 6 -6 -30 ------------- 2 -2 -10 Combine the -6 and the -30, getting -36 and write it at the bottom: 3 | 2 -8 -4 -6 | 6 -6 -30 ------------- 2 -2 -10 -36 Now we interpret that bottom line of numbers: The largest power of x in the original numerator is 3. So subtract one from 3 and get 2 for the exponent of x. So the first three numbers on the bottom is to be interpreted as Then the last number, -36, is the remainder and we put that over the original divisor and this fraction is added to the quotient: Now we can just write that as MINUS that fraction: Edwin```