340. \( 2 x^{2}-5 x+x^{2}-x \)

To simplify the expression \( 2 x^{2}-5 x+x^{2}-x \), we first combine like terms. We have \( 2x^{2} + x^{2} = 3x^{2} \) and \(-5x - x = -6x\). This gives us the simplified expression \( 3x^{2} - 6x \). Now, we can factor this expression: \( 3x(x - 2) \). Voilà! The factored form of the original expression is \( 3x(x - 2) \). Happy factoring! Want to ramp up your math game? Try working on polynomial long division or synthetic division, which are fantastic techniques for dividing polynomials, especially when you want to uncover roots or analyze function behavior. They’re often game-changers in algebra! If you're keen on diving deeper into algebra, check out classic books like "Algebra" by Israel M. Gelfand or "Elementary Algebra" by Harold R. Jacobs. They break down concepts into digestible bits and are great companions on your math journey!