Factor the following: \( 3 x^{3}-300 x \)

To factor \( 3x^{3}-300x \), we start by pulling out the greatest common factor, which in this case is \( 3x \). This gives us: \( 3x(x^{2}-100) \). Next, we can recognize that \( x^{2}-100 \) is a difference of squares, which can be factored further: \( x^{2}-100 = (x-10)(x+10) \). Putting it all together, we get the fully factored form: \( 3x(x-10)(x+10) \).