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Question


What must be subtracted from (x33x2+5x1) to get (2x3+x24x+2) ?


Options:
A .   x3+4x2+9x3
B .   x34x2+6x3
C .   x34x2+9x9
D .   x34x2+9x3
Answer: Option D
:
D

Let the expression to be subtracted be y.
Hence,
(x33x2+5x1)y=2x3+x24x+2
On rearranging the terms, 
y=(x33x2+5x1)(2x3+x24x+2)
y=x33x2+5x12x3x2+4x2
y=x32x33x2x2+5x+4x12
y=x34x2+9x3
So we have to subtarct (x34x2+9x3) to get the required value.



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