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单词 Cubic Equation
释义

Cubic Equation

英语百科

Cubic function

(重定向自Cubic Equation)
Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis—where y = 0). The case shown has two critical points. Here the function is ƒ(x) = (x3 + 3x2 − 6x − 8) / 4.
Two-dimensional graph of a cubic, the polynomial ƒ(x) = 2x3 − 3x2 − 3x + 2.
Niccolò Fontana Tartaglia
The roots, turning points, stationary points, inflection point and concavity of a cubic polynomial x³ - 3x² - 144x + 432 (black line) and its first and second derivatives (red and blue).

In algebra, a cubic function is a function of the form

where a is nonzero. In other words, a cubic function is defined by a polynomial of degree three.

Setting ƒ(x) = 0 produces a cubic equation of the form:

Usually, the coefficients a, b, c, d are real numbers. However much of the theory of cubic equations for real coefficients applies to other types of coefficients (such as complex ones).

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更新时间:2025/6/17 23:15:04