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Chapter 13.14
Word problems of polynomials
What You'll Learn
Apply polynomial factoring techniques to solve geometric word problems
Calculate areas of shaded regions using polynomial expressions
Factor difference of squares to simplify area calculations
Combine circle area formulas with polynomial operations
Simplify complex geometric expressions by factoring out common terms
What You'll Practice
1
Finding shaded areas between two circles using difference of squares
2
Subtracting areas and factoring the resulting polynomials
3
Extracting common factors like π from geometric expressions
4
Simplifying area formulas with multiple variable terms
Why This Matters
Polynomial word problems connect algebra to real-world geometry, helping you calculate measurements in construction, design, and engineering. These skills prepare you for advanced math courses and practical applications where you need to find unknown dimensions or optimize spaces.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Skills
Polynomials
Factoring
Difference of Squares
Area Calculations
Word Problems
Geometric Applications
Simplification
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