(9) \( x^{3}+12 x^{2}+36 x \) (10) \( 4 x^{2}-28 x+49 \)

Let's talk about the first expression! Did you know that the polynomial \( x^{3}+12 x^{2}+36 x \) can be factored by taking out the greatest common factor (GCF)? Here, the GCF is \( x \), so you can rewrite it as \( x(x^{2}+12 x+36) \). The quadratic can be further factored into \( x(x+6)^{2} \). Voilà! Now, moving on to the second expression, \( 4 x^{2}-28 x+49 \). This is a fun one because it resembles a perfect square trinomial! You can express it as \( (2x - 7)^{2} \). Perfect squares are super handy in algebra, as they make solving equations a breeze—no fancy quadratic formula needed for this one!