Question Factor the expression completely. \[ 5 x^{2}-7 x \]

To factor the expression \( 5x^2 - 7x \) completely, first, you can factor out the greatest common factor, which in this case is \( x \). So, we get: \[ 5x^2 - 7x = x(5x - 7) \] Now, the expression is factored into the product of \( x \) and \( (5x - 7) \). Another fun fact to keep in mind is that factoring is like reverse engineering a polynomial. Any time you factor out a common term, you’re simplifying the expression to make it easier to work with. Just remember, the polynomial’s degree gives you a hint about how many factors you might find! For an interesting real-world application, factoring expressions can help in various fields such as finance, where you might need to interpret profit functions or break down cost functions to find maximum profitability or minimum costs. By understanding the factors, you can make informed financial decisions based on the variables that matter most!