Factor the polynomial $8 x^{2}-16 x$ completely

Step 1 ：Factor the polynomial \(8x^2 - 16x\).

Step 2 ：The polynomial \(8x^2 - 16x\) can be factored as \(8x(x - 2)\). This is because \(8x\) times \(x\) gives \(8x^2\) and \(8x\) times \(-2\) gives \(-16x\). This is the factored form of the polynomial.

Step 3 ：Final Answer: The factored form of the polynomial \(8x^2 - 16x\) is \(\boxed{8x(x - 2)}\).