Display Title
Definition--Polynomial Concepts--Monomial
Display Title
Monomial
Topic
Polynomials
Definition
A monomial is a polynomial with only one term.
Description
Monomials are the simplest form of polynomials, consisting of a single term that can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers. They are fundamental building blocks in algebra and play a crucial role in polynomial operations.
Understanding monomials is essential for mastering more complex polynomial concepts. They are used in various mathematical operations such as addition, subtraction, multiplication, and division of polynomials. Monomials also form the basis for polynomial factorization and simplification techniques.
In practical applications, monomials are used in fields such as physics, engineering, and economics to model and analyze simple relationships. They help in understanding the dynamics of systems, predicting trends, and solving basic problems involving polynomial relationships. Mastery of monomials 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: Prime and Composites 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 |
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Grade Range | 8 - 12 |
Curriculum Nodes |
Algebra • Polynomials • Polynomial Expressions |
Copyright Year | 2013 |
Keywords | polynomials, monomials, definitions, glossary term |