# Does Newton's method give all the real roots?

Is it possible to obtain all the real roots of a polynomial equation using Newton's method? If it is, then is it done by giving different approximations close to each one of the real roots?

For example: If the roots of the polynomial equation are $$1$$ and $$-2$$, should we replace $$x$$ with both $$\frac{4}{3}$$ and $$-\frac{9}{4}$$ to obtain 2 roots, or does it only give one of them?