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CUSAT 2021 BTech Solved Paper Shift 2

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Question : 228

Total: 250

Let f(x)=2x2+5x+1. If we write f(x) as f(x)=a(x+1)(x−2)+b(x−2)(x−1)+c(x−1)(x+1) for real numbers a,b,c, then

there are infinite number of choices for a,b,c
only one choice for a but infinite number of choices for b and c
exactly one choice for each of a,b,c
more than one but finite number of choices for a,b,c

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