c) \( (x+5)(x-2) \)

Did you know that a product of two binomials like \( (x+5)(x-2) \) can be viewed through the eyes of the distributive property? By applying \( a(b+c) = ab + ac \), you can expand it to get \( x^2 + 3x - 10 \). It's a nifty trick that opens up a world of polynomial manipulation! When working on expanding binomials, a common error is to forget to apply the distributive property to all terms. A fun tip is to use a grid or box method! Draw a box, place \( x+5 \) on one side and \( x-2 \) on the other, and fill in the boxes as you multiply. This visual approach helps in minimizing mistakes and clarifying the process!