Display Title
Video Definition 27--Polynomial Concepts--Polynomial Addition
Display Title
Video Definition 27--Polynomial Concepts--Polynomial Addition
Topic
Polynomials
Description
Polynomial Addition: Polynomials are closed under addition, meaning the sum of two or more polynomials is a polynomial. Examples: (x3 + 2x2 + 3x - 5) + (2x3 - 3x2 + 4x - 10) = 3x3 - x2 + 7x - 15. Explains how addition operates within the set of polynomials, reinforcing closure properties.
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 • Polynomial Expressions |
Copyright Year | 2024 |
Keywords | polynomials, monomials, definitions, glossary term |