The number of values of the pair (a, b) for which $a (x + 1)^{2} + b (x^{2} - 3 x - 2) + x + 1 = 0$ is an identity in x is

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Solution

The correct option is A
0

$(a + b) x^{2} + x (2 a - 3 b + 1) + (a - 2 b + 1) = 0$
$\Rightarrow$ $a + b = 0, 2 a - 3 b + 1 = 0, a - 2 b + 1 = 0$
$\Rightarrow$ No value of (a, b) is possible

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