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Polynomial and Its General Form

The zeros of ...

Question

The zeros of polynomial $x^{2} - 2 x - 15$ are :

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Solution

$x^{2} - 2 x - 15 = 0$

$\Rightarrow$ $x^{2} - 5 x + 3 x - 15 = 0$

$\Rightarrow$ $x (x - 5) + 3 (x - 5) = 0$

$\Rightarrow$ $x = - 3, 5$

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