Particular products of powers, binomials, and trinomials are known as notable products.

The addition and subtraction of two polynomials \\(P(x)\\) and \\(Q(x)\\) are fundamental mathematical operations frequently occurring in various applications.

Trinomials are a specific type of polynomial, characterized by the presence of three terms, each of which is composed of dissimilar monomials. The standard form is:

\[ax^2 + bx + c\]

A binomial is an algebraic expression consisting of two different terms, \\(a\\) and \\(b\\), combined with an addition or subtraction operator.

\\[ (a + b) \quad \text{or} \quad (a-b) \\]

A polynomial is an algebraic expression containing sums and differences of monomials. A polynomial is expressed in the form:

\[a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0}\]