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Question

If x+1x4(x+2)=Ax+Bx2+Cx3+Dx4+Ex+2B+D+E=

A
A+C
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B
AC
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C
2A+2C
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D
2A+C
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Solution

The correct option is C A+C
x+1x4(x+2)=Ax+Bx2+Cx3+Dx4+Ex+2

Put x=1 in the above equation,

1+1(1)4(1+2)=A+BC+D+E

0=A+BC+D+E

B+D+E=A+C

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