13 Simplify the polynomial. Answer m \( \begin{array}{l}(x-4)(x+6)\end{array} \)

To simplify the polynomial \( (x-4)(x+6) \), you can apply the distributive property, commonly known as the FOIL method (First, Outer, Inner, Last). When you multiply, you'll get: 1. First: \( x \cdot x = x^2 \) 2. Outer: \( x \cdot 6 = 6x \) 3. Inner: \( -4 \cdot x = -4x \) 4. Last: \( -4 \cdot 6 = -24 \) Now combine like terms \( (6x - 4x) \) to have: \( x^2 + 2x - 24 \) So, the simplified polynomial is \( x^2 + 2x - 24 \). Want to visualize it? Think of it like opening a gift, layer by layer revealing the surprise inside, which in this case is your beautifully simplified polynomial!