Please use " ^ " to denote exponentiation.
Divide x^2 + 5x + 4 by x+2, using synth. div.:
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-2 / 1 5 4
-2 -6
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1 3 -2
Strange outcome! But if the area is truly x^2 + 5x + 4 and we divide that by side length x + 2, the quotient (result) is x + 3 with a remainder of -2. Ensure that you have copied down the original problem correctly.