Finding zeroes of a polynomial

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Find the zeroes of the polynomial $2x^{2}-3x+1$

**Answer**

The polynomial $2x^{2}-3x+1$ is a quadratic polynomial and can be easily factored as $(2x-1)(x-1)$

So, $2x^{2}-3x+1 = (2x-1)(x-1)$

The solutions are:

$x = \frac{1}{2}$

$x = 1$