What must be subtracted from $x^{3} - 3 x^{2} + 5 x - 2$ to get $2 x^{3} + x^{2} - 4 x + 2$ ?

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Solution

The correct option is D

$(x^{3} - 3 x^{2} + 5 x - 2) - y = 2 x^{3} + x^{2} - 4 x + 2$
$\Rightarrow y = (x^{3} - 3 x^{2} + 5 x - 2) - (2 x^{3} + x^{2} - 4 x + 2)$

$x^{3} - 3 x^{2} + 5 x - 2$
$2 x^{3} + x^{2} - 4 x + 2$
$- - + -$
____________________
$x^{3} - 4 x^{2} + 9 x - 4$

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