Q.

If 9x7(x+3)(x2+1)=Ax+3+Bx+Cx2+1 then  A+B+C=

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a

175

b

175

c

0

d

65

answer is D.

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Detailed Solution

9x7=A(x2+1)+(Bx+C)(x+3)

By comparing  x2 coefficient , A+B=0

Put  x=3then  A=175B=175

Compare coefficient of  xon both the side  3B+C=9.

C=3B+9

=93175

=65

A+B+C=65

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