quartic
Definition
- Noun:
- An algebraic equation of the fourth degree: A "quartic" is a polynomial equation where the highest power of the variable (usually x) is four. Its general form is ax⁴ + bx³ + cx² + dx + e = 0, where a, b, c, d, and e are constants and a is not zero.
Usage Examples
- Noun:
- Solving a quartic can be more complex than solving a quadratic equation.
- The mathematician derived the formula for the roots of the general quartic.
Advanced Usage
- Quartic function: Refers to a polynomial function of degree four, .
- The graph of a quartic function can have up to three turning points.
- Quartic curve/surface: In geometry, a curve or surface defined by a quartic equation.
- The study of quartic curves is a topic in algebraic geometry.
Variants and Related Words
- Biquadratic (adj/noun): Another term for "quartic," especially an equation of the form .
- The biquadratic equation is a special case of the quartic.
- Quartic (adjective): Describing something related to the fourth degree or fourth power.
- The term 'quartic' comes from the Latin root for 'four'.
Synonyms
- Fourth-degree equation: A direct descriptive synonym.
- Biquadratic equation: A synonym, particularly for simpler forms.
Related Phrases
- Quartic polynomial: The polynomial expression itself, before being set equal to zero.
- Factoring the quartic polynomial was the first step.
- Quartic formula: The formula providing the roots for a general quartic equation.
- The quartic formula is much more elaborate than the quadratic formula.
Noun
-
an algebraic equation of the fourth degree
Khám phá thêm
Các từ liên quan
Từ đồng nghĩa
Từ gần giống
Từ chứa "quartic"
