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Definition--Polynomial Concepts--Polynomial Roots

Polynomial Roots

Polynomial Roots

Topic

Polynomials

Definition

Polynomial roots are the values of the variable that make the polynomial equal to zero.

Description

Polynomial roots, also known as zeros or solutions, are the values of the variable that make the polynomial equal to zero. Finding the roots of a polynomial is a fundamental task in algebra, as it provides critical information about the behavior and properties of the polynomial function.

Understanding polynomial roots is essential for solving polynomial equations and for analyzing the behavior of polynomial functions. The roots indicate where the graph of the polynomial intersects the x-axis, and they provide insights into the factors of the polynomial. Polynomial roots are also crucial in calculus, where they are used to study limits, derivatives, and integrals.

In practical applications, polynomial roots 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 complex problems involving polynomial relationships. Mastery of polynomial roots enhances problem-solving skills and provides a deeper understanding of algebraic and calculus concepts.

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 Functions and Equations
Copyright Year 2021
Keywords polynomials, monomials, definitions, glossary term, roots