Write the following expression in factored form.

To factor the expression , we look for two numbers that multiply to (the constant term) and add up to (the linear coefficient). The numbers and fit that bill because and . So, the factored form is indeed .

Speaking of quadratic functions, they have been around since ancient civilizations. The Babylonians were already working with quadratic equations around 2000 BC, showing that our modern techniques have deep roots in history. Think of algebra as a bridge connecting thousands of years of mathematical thought!

Let’s talk about quadratic equations in real life! They’re everywhere – from projectile motion to optimizing areas and even in aspects of economics like profit maximization. For instance, a basketball shot follows a parabolic path, which can be described using quadratic equations. Next time you shoot hoops, remember you’re playing with algebra!