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Definition--Polynomial Concepts--Trinomial

Trinomial

Trinomial

Topic

Polynomials

Definition

A trinomial is a polynomial with three terms.

Description

Trinomials are a specific type of polynomial that consist of three terms. These terms can be constants, variables, or a combination of both, raised to various powers. Trinomials are fundamental in algebra and play a crucial role in polynomial operations such as factoring, expanding, and simplifying expressions.

Understanding trinomials is essential for mastering more complex polynomial concepts. They are used in various mathematical operations, including solving quadratic equations and analyzing polynomial functions. Trinomials also form the basis for polynomial factorization techniques such as completing the square and using the quadratic formula.

In practical applications, trinomials are used in fields such as physics, engineering, and economics to model and analyze real-world phenomena. They help in understanding the dynamics of systems, predicting trends, and solving problems involving polynomial relationships. Mastery of trinomials enhances problem-solving skills and provides a foundation for understanding more complex algebraic techniques.

For a complete collection of terms related to polynomials click on this link: Polynomials Collection

Common Core Standards CCSS.MATH.CONTENT.HSA.APR.A.1, CCSS.MATH.CONTENT.HSA.APR.B.2, CCSS.MATH.CONTENT.HSA.APR.C.5, CCSS.MATH.CONTENT.HSA.APR.C.4, CCSS.MATH.CONTENT.HSA.APR.B.3, CCSS.MATH.CONTENT.HSF.IF.C.7.C
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Polynomials
        • Polynomial Expressions
Copyright Year 2021
Keywords polynomials, monomials, definitions, glossary term