Video Definition 13--Polynomial Concepts--Factored Cubic
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Algebra >> Polynomials >> Factoring Polynomials

Video Definition 13--Polynomial Concepts--Factored Cubic

Video Definition 13--Polynomial Concepts--Factored Cubic

Topic

Polynomials

Description

Factored Cubic: Expressing a polynomial of degree 3 as the product of linear and/or quadratic terms. Examples: x3 + 3x2 + 3x + 1 = (x + 1)3, x3 + 6x2 + 11x + 6 = (x + 1)(x + 2)(x + 3). Illustrates how polynomials can be decomposed into simpler factors for solving equations and simplifications.

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 - 12
Curriculum Nodes Algebra
    • Polynomials
        • Factoring Polynomials
Copyright Year 2024
Keywords polynomials, monomials, definitions, glossary term