Display Title
Definition--Polynomial Concepts--Polynomial Roots
Display Title
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 |
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Grade Range | 8 - 12 |
Curriculum Nodes |
Algebra • Polynomials • Polynomial Functions and Equations |
Copyright Year | 2021 |
Keywords | polynomials, monomials, definitions, glossary term, roots |