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Q.

If f(x)=x−32x2−183x3−81x−52x2−504x3−500123 ,then f(1)⋅f(3)+f(3)⋅f(5)⋅f(5)⋅f(1) is equal to

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a

f(1)

b

f(3)

c

f(1)+f(3)

d

f(1)+f(5)

answer is B.

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Detailed Solution

f(1)=−2−16−78−4−48−496123f(3)=000−2−32−392123=0f(1)f(3)+f(3)f(5)f(5)f(1)=f(1)f(3)1+{f(5)}2=0×1+{f(5)}2=0

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