Video Definition 20--Polynomial Concepts--Sum of Cubes (Spanish Audio)
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Algebra >> Polynomials >> Factoring Polynomials

Video Definition 20--Polynomial Concepts--Sum of Cubes (Spanish Audio)

Video Definition 20--Polynomial Concepts--Sum of Cubes (Spanish Audio)

Topic

Polynomials

Description

Sum of Cubes: When a cubic polynomial is written as a sum of cubes, it can be factored as a3 + b3 = (a + b)(a2 - ab + b2). Examples: x3 + 27 = (x + 3)(x2 - 3x + 9), 8x3 + 125 = (2x + 5)(4x2 - 10x + 25). Introduces a specific factoring technique for cubic polynomials, aiding in simplification and solving equations.

This video is highly relevant to the topic of Polynomials. Understanding the underlying concepts can deepen your mathematical reasoning and problem-solving abilities. Topics like these are fundamental to a variety of applications in algebra and beyond.

Teacher's Script: Today, we're going to explore a concept that is foundational to understanding algebra. This video explains Sum of Cubes in a clear and engaging way. Pay attention to the definitions and examples, as they will help you apply these ideas in practice.

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, sum of cubes