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Integrated Math I
2. CC.HSA.SSE.A.2
2.3 Applications of polynomials
Applications of Polynomials
Polynomials model real quantities like area and volume, letting you solve for an unknown dimension or value.
What You'll Learn
A polynomial application models a real quantity, like area or volume, as a polynomial expression.
Area from two polynomial side lengths is found by multiplying them.
Translate a word problem by naming the unknown, then writing each quantity in terms of it.
Substitute a value to evaluate, or set the polynomial equal to a target to solve for x.
Example: a garden of length x+8 and width x+5 has area x squared + 13x + 40.
What You'll Practice
1
Finding shaded areas by subtracting polynomial expressions for nested rectangles
2
Calculating circle areas using polynomial radius expressions and π
3
Applying the Pythagorean theorem to solve for variables in right triangles
4
Factoring polynomials using grouping to determine rectangle dimensions from area
5
Expanding squared binomials in area formulas and simplifying results
Why This Matters
These skills bridge algebra and geometry, preparing you for advanced math courses like trigonometry and calculus. Real-world applications include architecture, engineering design, and any field requiring spatial reasoning with variable dimensions.
Before You Start — Make Sure You Can:
This Unit Includes
7 Video lessons
Practice exercises
Learning resources
Skills
Polynomials
Area Formulas
Pythagorean Theorem
Factoring
Binomial Expansion
Geometric Applications
Expression Simplification
OH Curriculum Aligned