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Question

What is the quotient when (x3+8) is divided by (x22x+4)?
  1. x2
  2. x+2
  3. x+1
  4. x1

A
x+1
B
x2
C
x+2
D
x1
Solution
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x+2
x22x+4 ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯x3+8
x32x2+4x
+
-----------------------------
2x24x+8
2x24x+8
+
------------------------
0
Thus, we get the quotient as x+2 and remainder as 0.
Hence, option B is correct.

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