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Question

If f(x)=x25x+6, and
A=201213110
f(A)=11a11b544
find ab?

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Solution

Given f(x)=x25x+6, and
A=201213110
f(A)=11a11b544
f(A)=A25A+6I
11a11b544=512925012100510515550+600060006
11a11b544=1131110544
a=3 and b=10
ab=7

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