Understanding Trinomials | Definition, Examples, and Applications

Trinomial

A trinomial is a mathematical expression that consists of three terms, separated by either addition or subtraction operators

A trinomial is a mathematical expression that consists of three terms, separated by either addition or subtraction operators. The term “tri” in trinomial indicates that it contains three terms. Each of the terms in a trinomial can contain variables, constants, or both.

The general form of a trinomial can be written as:

ax^2 + bx + c

Here, “a,” “b,” and “c” are coefficients, which represent constants that multiply the respective terms. “x^2” is the quadratic term, “bx” is the linear term, and “c” is the constant term.

Trinomials often arise in algebra when solving equations, factoring quadratic expressions, or graphing quadratic functions. They can also be found in various mathematical applications and real-life problems.

For example, the trinomial 2x^2 + 5x – 3 represents a quadratic expression with three terms. The coefficient “2” multiplies the quadratic term, the coefficient “5” multiplies the linear term, and the constant term is “-3”.

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