Help in factoring polynomials Please help in factoring: 


*

*$x^3 - 13x + 12$

*$x^5 - 3x^3 - 4x$

*$x^3 - 6x^2 + 5x + 12$
Thank you in advance. 

HINT:
Try to find the zeroes of the polynomials. If the zero of the polynomial is $x_0$, then divide the polynomial by $x_0$ and then repeat again.
For the first one:
$x_0 = 1$ is zero of the polynomial so we have:
$$\frac{x^3 - 13x + 12}{x-1} = (x^2 + x -12)$$
So the first polynomial can be written as:
$$x^3 - 13x + 12 = (x-1)(x^2+x-12)$$
The zeroes for the second term are $x_0 = 3$ and $x_0 = -4$. So the expression can be written as:
$$x^3 - 13x + 12 = (x-1)(x-3)(x+4)$$
You can do the other two yourself.
