What must be subtracted from $x^{3} - 3 x^{2} + 5 x - 1$ to get $x^{3} + 2 x^{2} - 2 x + 11$ ?

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Solution

The correct option is D

Let the algebraic expression to be subtracted from $x^{3} - 3 x^{2} + 5 x - 1$ be $P$ .

Then, as per the given question, we have,

$(x^{3} - 3 x^{2} + 5 x - 1)$ - $P$ = $x^{3} + 2 x^{2} - 2 x + 11$

$⟹ P = (x^{3} - 3 x^{2} + 5 x - 1) - (x^{3} + 2 x^{2} - 2 x + 11)$

$⟹ P = x^{3} - 3 x^{2} + 5 x - 1 - x^{3} - 2 x^{2} + 2 x - 11$

$⟹ P = - 5 x^{2} + 7 x - 12$

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Similar questions

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What must be subtracted from $(x^{3} - 3 x^{2} + 5 x - 1)$ to get $(2 x^{3} + x^{2} - 4 x + 2)$ ?

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

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