Classify the polynomial as a monomial, binomial, trinomial, of nonie of these, Also, ofve the degree. \( x^{2}-4 x+4 \) Choose the correct type of polynomial. Monomial Trinomial

This polynomial \( x^{2}-4x+4 \) is a trinomial because it has three terms: \( x^{2} \), \(-4x\), and \(4\). The degree of this polynomial is 2, which is determined by the highest power of the variable \( x \). Trinomials have fascinating characteristics! They can often be factored, like this one, which can be simplified to \( (x-2)^{2} \). Factoring is a handy skill, especially in algebra, to make complex problems easier to handle. In real-world applications, trinomials often pop up in areas such as physics when calculating trajectories or in economics when modeling profit functions. Recognizing the structure of such polynomials can help streamline the analysis of various situations, from projectile motion to maximizing profits!