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Najib Khan

x3 + 3x2 - 4x...

Question

$x^{3} + 3 x^{2} - 4 x - 12$ , when divided by (x - 2), leaves a remainder of $a x^{2} + b x + c$ . Find a, b and c.

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Solution

Quotient = $x^{2}$ + 5x + 6 = $a x^{2}$ + bx + c

$\Rightarrow$ a = 1, b = 5 c = 6

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