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Algebra II
48. CC.HSN.CN.C.8
48.3 Applications of polynomials: x^2 + bx + c
Applications of polynomials: x^2 + bx + c
What You'll Learn
Apply polynomial factoring techniques to solve geometry word problems
Factor expressions to find dimensions of rectangular prisms given volume
Determine box dimensions by factoring expressions with multiple variables
Connect factored forms to real-world measurements like length, width, and height
Interpret factoring results in the context of physical objects and constraints
What You'll Practice
1
Factoring volume expressions to find three dimensions of prisms
2
Solving cardboard box problems by identifying dimensions after cutting
3
Extracting common factors from multi-variable polynomial expressions
4
Verifying factored dimensions match given volume formulas
Why This Matters
Understanding how polynomial factoring applies to geometric problems connects abstract algebra to real-world design and engineering. You'll use these skills in physics, architecture, and manufacturing where calculating dimensions from volume or area is essential.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Skills
Polynomial Factoring
Volume
Rectangular Prisms
Word Problems
Geometry Applications
Common Factors
Trinomials
OH Curriculum Aligned