x^2 5x+6x 2 Now, x^2 5x+6=x^2 2x 3x+6=x(x 2) 3(x 2) =(x 3)(x 2) ∴ x^2 5x+6x 2=(x 3)(x 2)(x 2) =x 3 ...

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Roots of Quadratic Equation

x2-5x+6 by ...

Question

$x^{2} - 5 x + 6$ by $x - 2$

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Solution

$\frac{x^{2} - 5 x + 6}{x - 2}$
Now, $x^{2} - 5 x + 6 = x^{2} - 2 x - 3 x + 6 = x (x - 2) - 3 (x - 2)$
$= (x - 3) (x - 2)$
$∴ \frac{x^{2} - 5 x + 6}{x - 2} = \frac{(x - 3) (x - 2)}{(x - 2)} = x - 3$

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