Classify the polynomial as a monomial, binomial, trinomial, or none of these. Also, give the degree. \( x^{2}-6 x+9 \) Choose the correct type of polynomial. Trinomial Binomial

This polynomial \( x^{2}-6x+9 \) is a trinomial because it contains three terms: \( x^{2} \), \(-6x\), and \(9\). The degree of the polynomial is 2, which is determined by the highest exponent of \( x \) present in the expression. Trinomials often have useful applications, especially in factoring. For example, this specific trinomial can be factored as \( (x - 3)(x - 3) \) or simply \( (x - 3)^{2} \), representing a perfect square. If you're working with polynomials, a common mistake is to misclassify them based on their terms without checking the number of terms carefully. Remember, if there's just one term, it's a monomial; two terms makes it a binomial, and three makes it a trinomial!