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Total Surface Area of a Cuboid

On dividing ...

Question

On dividing $p (x)$ by a polynomial $(x - 1 - x^{2})$ , the equation and remainder were $(x - 2)$ and $3$ respectively, Find $p (x)$

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Solution

$(x - 1 - x^{2}) (x - 2) + 3 =$ equation $p (x)$
$x^{2} - x - x^{3} - 2 x + 2 + 2 x^{2} + 3 - x^{3} + 3 x^{2} - 3 x + 5$ .

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