The area of a rectangle is given by the expression x2 + 5x + 4. If the length of one side is given by x + 2, what is the length of the other side?

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07-01-2018
Mathematics

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The area of a rectangle is given by the expression x2 + 5x + 4. If the length of one side is given by x + 2, what is the length of the other side?

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altavistard altavistard · Answer 1 · 2018-01-12T19:46:41+01:00

Please use " ^ " to denote exponentiation.

Divide x^2 + 5x + 4 by x+2, using synth. div.:
______________
-2 / 1 5 4
-2 -6
------------------------
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.