Video Definition 34--Polynomial Concepts--Multiplicity of a Root
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Algebra >> Polynomials >> Polynomial Functions and Equations

Video Definition 34--Polynomial Concepts--Multiplicity of a Root

Video Definition 34--Polynomial Concepts--Multiplicity of a Root

Topic

Polynomials

Description

Multiplicity of a Root: The degree of a linear root for a polynomial. The multiplicity affects how the graph intersects the x-axis. Example: f(x) = (x + 3)3 • x2 • (x + 1). Provides a visual and systematic approach to expand binomials.

Polynomials are foundational to algebra, representing expressions with one or more terms. These terms are composed of variables raised to various powers and coefficients. Understanding their structure and function allows mathematicians to model real-world situations effectively. This video elucidates such concepts clearly.

Teacher’s Script: Let's delve into polynomials today! These mathematical expressions allow us to represent complex relationships with simple terms. The video you'll watch explores this idea in depth, focusing on how each term contributes to the polynomial's behavior. Pay attention to the examples provided; they show how to break down and understand these expressions step-by-step.

For a complete collection of videos related to Polynomials click on this link: Math Video Definitions: 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
Duration 1 minutes
Grade Range 8 - 11
Curriculum Nodes Algebra
    • Polynomials
        • Polynomial Functions and Equations
Copyright Year 2024
Keywords polynomials, monomials, definitions, glossary, glossary terms, multiplicity