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

Question

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

jimthompson5910 · Answer

Think of $2x^3-2x-12$ as $2x^3+0x^2-2x-12$
This is what your synthetic division table will start off as
|dw:1608070245304:dw|
The 2 in the upper left box is from solving x-2 = 0 for x getting x = 2 as the possible test root

The other values are the coefficients of $2x^3+0x^2-2x-12$

jimthompson5910 · Answer

Do you see what the next step would be?