- #1
Mathsig
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- Why is third degree called cubic?
Why is a third degree polynomial called a cubic polynomial? I just don’t see the connection between 3 and a cube.
Why Is a Cubic Polynomial Called 'Third Degree'?
- Context: High School
- Thread starter Mathsig
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- Cube Cubic Degree Polynomial
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SUMMARY
A cubic polynomial is defined as a third degree polynomial due to its mathematical relationship with the volume of a cube, which is calculated using the formula ##l^3##, where ##l## represents the side length. This terminology aligns with the naming convention for second degree polynomials, known as quadratic polynomials, which derive their name from the Latin word "quadratus," meaning "square," reflecting the area calculation of a square as ##l^2##. Additional polynomial classifications include quartic for fourth degree and quintic for fifth degree polynomials.
PREREQUISITES- Understanding of polynomial degrees and their classifications
- Basic knowledge of geometry, specifically volume and area calculations
- Familiarity with Latin terminology in mathematical contexts
- Concept of dimensionality in mathematics
- Research the properties of cubic polynomials and their applications in algebra
- Explore the geometric interpretations of quadratic and cubic functions
- Learn about quartic and quintic polynomials and their significance in higher mathematics
- Study the historical development of polynomial terminology in mathematics
Students of mathematics, educators teaching polynomial concepts, and anyone interested in the historical and geometric foundations of polynomial terminology.
- #2
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A cube is a three dimensional object. The volume of a cube is ##l^3##, where ##l## is the side length. That's cubic formula, in both senses.
- #3
russ_watters
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It's the same reason the second degree is square.
- #4
Mark44
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Further, a second degree polynomial is called a quadratic polynomial because the area of a square is ##l^2##. The Latin word quadratus means "square."Mathsig said:
Other types of polynomials have names such as quartic (fourth degree) and quintic (fifth degree).
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