Trinomial
An algebraic expression with three terms
A trinomial is a polynomial that has three terms. In simple words, a trinomial is a mathematical expression that has three parts, which can be added or subtracted. The trinomial is a term commonly used in algebraic equations and is represented as ax² + bx + c, where a, b, and c are coefficients.
For example, x² + 2x – 3 is a trinomial because it has three terms: x², 2x, and -3. Another example would be 3x² – 6x + 2 which also has three terms; 3x², -6x, and 2.
Trinomials can be factored using a variety of methods, such as grouping or trial and error. The result of factoring a trinomial is written in the form of two binomials, which are expressions with two terms each.
For instance, x² + 4x + 4 can be factored as (x + 2)² since (x + 2) multiplied by itself equals x² + 4x + 4. Another example, 2x² + 5x – 3 can be factored as (2x – 1)(x + 3) using the grouping method.
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