Question

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Answer 1

Answer:

The quotient is $x^2 + x - 2$.  Option 1 is the correct answer.

Step-by-step explanation:

$x^3 - 2x^2 - 5x + 6$

$=x^3 - 3x^2 + x^2 - 3x - 2x + 6$

$=x^2(x - 3) + x(x - 3) - 2(x - 3)$

$=(x - 3)(x^2 + x - 2)$

∴ $\frac{x^3 - 2x^2 - 5x + 6}{x - 3} = x^2 + x - 2$

Answer 2

Answer:

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