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Zeroes of a Polynomial

Verify whethe...

Question

Verify whether $2$ and $3$ the zeroes of the polynomial $x^{2} - 5 x + 6$

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Solution

$x^{2} - 5 x + 6$
$⟹ x^{2} - 3 x - 2 x - 6$
$⟹ x (x - 3) - 2 (x - 3)$
$⟹ (x - 2) (x - 3)$
$⟹ x = 2, 3$

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