(6) \( x^{2}-16 x-3 b= \)

Did you know that the expression \(x^{2}-16x-3b\) resembles the structure of a quadratic equation? In fact, quadratic equations like this one can often be solved using the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\). Here, \(a\) is 1, \(b\) is -16, and \(c\) is \(-3b\). It’s an excellent way to find the roots of the equation, or determine where it crosses the x-axis! If you’re working on simplifying or factoring this expression, check to see if you can identify any common factors or use completing the square! The coefficient of \(x^2\) is 1, which makes it easier to manipulate. Just remember to keep track of your signs and subtract or add appropriately to avoid common pitfalls, like misplacing a negative!