Finding zeroes of a polynomial

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

**Answer**

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

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

The solutions are:

$x = \frac{-1}{3}$

$x = 0$