What does quartic mean?
A quartic is something involving the fourth degree, especially a mathematical expression whose highest power is four. The term is used for equations, polynomials, functions, curves, and related mathematical objects. A quartic equation can be solved by general algebraic methods, but the resulting formulas are often cumbersome, so numerical or computational methods are commonly used in practice. Outside mathematics, the adjective is relatively uncommon, though it can describe any process, effect, or relationship that is fourth in order or degree. The word comes from Latin quartus, meaning “fourth,” and is related to quarter and quaternary. It is distinct from quadratic, which describes a second-degree expression rather than a fourth-degree one.
Relating to or involving the fourth degree or order.
"The study compared the quartic regression model with simpler alternatives."
Most common in mathematical and technical contexts.
A polynomial, equation, or function of the fourth degree.
"The quartic has four complex roots, counted with multiplicity."
This noun is specialized and chiefly occurs in mathematics.
The plural is used when referring to multiple fourth-degree equations, polynomials, or functions.
"The course examines quartics and their roots."
A quartic is the mathematical equivalent of a four-sided shape: its defining feature is the number four.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of quartic
The word derives from Latin quartus, meaning “fourth,” from the same numerical source as quattuor, “four.” English borrowed the Latin form in mathematical usage during the 17th century. Its relatives include quarter, quaternary, and quarto, all reflecting the idea of a fourth part or a fourfold division.
Related word forms
How quartic is actually used
The adjective is primarily used in mathematics and related technical contexts. As a noun, the term is specialized and usually refers to a fourth-degree equation, polynomial, or function.
Easily confused with quartic
A quartic has degree four, whereas a quadratic has degree two.