Question 201802
(4x^3 +0x^2 -7x +6 ) / (x+2),,,ineither  case  add ( 0x^2 term)
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,,,,-2,,,,,4,,,,0,,,,-7,,,,6
,,,,,,,,,,,,,,,,-8,,,16,,,-18
,,,,,,,,,,___________________
,,,,,,,,,,,4,,,,-8,,,9,,,,-12,,,,,rem = -12
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4x^2 -8x +9 { - 12/(x+2) }
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check  by  (x+2)(4x^2 -8x+9) = 4x^3 +0x^2 -7x +18
then  adding  rem  of  (-12) results  in  4x^3 -7x +6,,,,as  original,,,ok