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Let f(x) =2x^(2) +5x +1 .If we wri...

Let `f(x) =2x^(2) +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 -

A

there are infinite number of chocies for a ,b,c

B

only one choice for a but infinte number of choices for b and c

C

Exactly one choice for each of a,b,c

D

More than one but finite number of choices for a,b,c

Text Solution

Verified by Experts

The correct Answer is:
C
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