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Video Definition 42--Rationals and Radicals--Simplifying a Rational Expression

Video Definition 42--Rationals and Radicals--Simplifying a Rational Expression

Topic

Rationals and Radicals

Description

Simplifying a Rational Expression involves factoring out terms from both the numerator and denominator to reduce the expression to its simplest form. The example demonstrates simplifying (x2 + 2x + 1) / (x2 - 2x - 3) into (x + 1) / (x - 3) by factoring the quadratic expressions. This term supports the sequence by showing how algebraic fractions can be reduced to simpler forms, which is crucial for operations on rational expressions.

Understanding this video is essential for grasping the fundamentals of Rationals and Radicals. The mathematical concepts explored here form the basis for further exploration and application in related fields.

Teacher's Script: "Today, we will delve into an important concept that helps us simplify and solve complex problems in mathematics. This video introduces the concept of Simplifying a Rational Expression and shows how it applies in various scenarios. Pay close attention to how the examples are worked out."

For a complete collection of videos related to Rationals and Radicals click on this link: Math Video Definitions: Rationals and Radicals Collection.

Common Core Standards CCSS.MATH.CONTENT.HSA.REI.A.2, CCSS.MATH.CONTENT.HSN.RN.A.1, CCSS.MATH.CONTENT.HSF.IF.C.7
Duration 1 minutes
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Rational Expressions and Functions
        • Rational Expressions
Copyright Year 2024
Keywords radicals, radical expressions, rational numbers, rational expressions, definitions, glossary term, rational functions