polynomial
Adjective:
- Having the character of or relating to a polynomial: Describes an expression, equation, or function that is or can be expressed as a polynomial.
Noun:
- A mathematical expression: A function that is the sum of a finite number of terms, where each term consists of a constant coefficient multiplied by a variable raised to a non-negative integer power.
Adjective:
- The equation is a polynomial equation of degree three.
- We need to simplify this polynomial expression.
Noun:
- The function f(x) = 3x² + 2x - 5 is a polynomial.
- Solving this polynomial requires finding its roots.
"Polynomial time": In computer science, refers to an algorithm whose running time is bounded by a polynomial expression in the size of the input.
- Problems solvable in polynomial time are generally considered tractable.
"Polynomial regression": A form of regression analysis where the relationship between variables is modeled as an nth degree polynomial.
- We used polynomial regression to fit a curve to the data points.
Polynomial function (n): A function defined by a polynomial expression.
- A quadratic function is a specific type of polynomial function.
Monomial (n): A polynomial with only one term (e.g., 5x³).
- Binomial (n): A polynomial with exactly two terms (e.g., x + 1).
- Trinomial (n): A polynomial with exactly three terms (e.g., x² + 2x + 1).
- Multinomial (n): A less common synonym for a polynomial, especially one with multiple terms.
- Algebraic expression (n): A broader category that includes polynomials.
Degree of a polynomial: The highest power of the variable in the polynomial.
- The degree of the polynomial x⁴ + 2x is four.
Coefficient of a polynomial: The constant number multiplying a variable term.
- In the term 7x², the coefficient is 7.
Root/Zero of a polynomial: A value for the variable that makes the polynomial equal to zero.
- Finding the roots of the polynomial is a key task in algebra.
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having the character of a polynomial
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a polynomial expression
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a mathematical function that is the sum of a number of terms
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