Find the zero of the polynomial
$p (x) = 2 x^{2} - 5 x - 3$

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Solution

$p (x) = 2 x^{2} - 5 x - 3$
To find zero of polynomial $p (x) = 0$
$\begin{matrix} p (x) = 2 x^{2} - 5 x - 3 p (x) = 0 \Rightarrow 2 x^{2} - 5 x - 3 = 0 \Rightarrow 2 x^{2} - 6 x + x - 3 = 0 \Rightarrow 2 x (x - 3) + 1 (x - 3) = 0 \Rightarrow (2 x + 1) (x - 3) = 0 x = \frac{- 1}{2}, 3 \end{matrix}$

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