Multiply the binomials. \( (x+11)(x-2) \) Submit Question

To multiply the binomials \( (x+11)(x-2) \), you can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Start by multiplying the First terms: \( x \cdot x = x^2 \). Then, multiply the Outer terms: \( x \cdot -2 = -2x \). Next, the Inner terms: \( 11 \cdot x = 11x \). Finally, the Last terms: \( 11 \cdot -2 = -22 \). Combine all these results: \[ x^2 + 9x - 22 \] Now you’ve got your answer: \( x^2 + 9x - 22 \)! For a real-world application, this can represent a scenario in finance where you're calculating the profit from selling a product. Let’s say \( x \) represents units sold, \( 11 \) the profit per unit, and \( -2 \) an overhead cost. The final expression allows you to predict profit under changing selling conditions, helping you make informed business decisions quickly!