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  4. x ∈ R: (2x -1/x3 + 4x2 + 3x) ∈ R Equals

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Q. $x \in R : \frac{2x -1}{x^3 + 4x^2 + 3x} \in R$ Equals

BITSATBITSAT 2009

Solution:

Let $ A = x \in R : \frac{2x -1}{x^3 + 4x^2 + 3x}$
Now , $x^3 + 4x^2 + 3x = x(x^2 + 4x + 3)$
$ = x(x+ 3) (x + 1)$
$A = R - \{0, -1, -3\}$