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Video Definition 23--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression

Video Definition 23--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression

Topic

Rationals and Radicals

Description

Partial fraction decomposition involves rewriting a rational expression as the sum of terms with linear denominators. An example decomposes 1 / (x2 - 2x - 3) into c1 / (x + 1) + c2 / (x - 3), solving for coefficients using substitution. This concept breaks complex rational expressions into simpler parts, crucial for integration and solving rational equations.

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 Partial Fraction Decomposition 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