What is a third degree polynomial?
Understand the Problem
The question is asking for a definition or explanation of a third degree polynomial, which is a mathematical expression of the form ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a is not zero.
Answer
p(x) = ax³ + bx² + cx + d, where 'a' ≠ 0
The final answer is p(x) = ax³ + bx² + cx + d, where 'a' ≠ 0
Answer for screen readers
The final answer is p(x) = ax³ + bx² + cx + d, where 'a' ≠ 0
More Information
A third-degree polynomial is also known as a cubic polynomial because its highest degree term is cubed, or raised to the power of three.
Tips
Common mistakes include forgetting that the coefficient 'a' must not be zero, as this would otherwise reduce the polynomial to a lower degree.
Sources
- Describe third degree polynomial - BYJU'S - byjus.com
- Cubic Polynomial - Formula | Solve Cubic Equation - Cuemath - cuemath.com
- Cubic function - Wikipedia - en.wikipedia.org
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