23) \( 2 x y-8 x^{2}+7 y^{3}-28 y^{2} x \)

Let’s break this down! First, we can factor out the common terms from the polynomial. Noticing that \( 2xy \) and \( 8x^2 \) share \( 2x \), and \( 7y^3 \) and \( -28y^2x \) share \( 7y^2 \), we can rewrite the expression as \( 2x(y-4x) + 7y^2(y-4x) \). From there, we can collect like terms: \( (2x + 7y^2)(y - 4x) \). Voila! You've successfully factored the polynomial into its component expressions. Think of polynomials as like pizza! Just as you can slice a pizza to share with friends, you can factor polynomials to make them easier to handle. Each term is a "slice", and factoring allows you to see how they work together to create the whole!