Finding zeroes of a polynomial

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Find the zeroes of the polynomial $x^{2}-4x+3$

**Answer**

The polynomial $x^{2}-4x+3$ is a quadratic polynomial and can be easily factored as $(x-1)(x-3)$

So, $x^{2}-4x+3 = (x-1)(x-3)$

The solutions are:

$x = 1$

$x = 3$