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quartic

quartic

9.9
An equation with the highest power of four
  • noun
  • /ˈkwɔrtɪk/
  • Specialized
translation icon : cuártico
  • In mathematics, a quartic equation can be expressed as ax^4 + bx^3 + cx^2 + dx + e = 0.

Examples

  • So you can rewrite this quartic equation.

  • So here's a cubic term, a quartic term, and a quintic term.

  • And then there's the next one, the quartic term and.

  • The roots of the quartic polynomial can be found using various algebraic methods.

  • When graphing a quartic function, you can observe its characteristic w-shaped curve.

Synonyms

quartic polynomial
vsquartic
  • Specialized
9.9

A math expression with a variable raised to the fourth power as highest term

is a broader term for any fourth-degree equation or function
biquadratic polynomial
vsquartic
  • Specialized
9.9

A math expression whose highest power of x is four

includes other fourth-degree functions or equations beyond polynomials
biquadratic
vsquartic
  • Specialized
9.9

An algebra equation that has a variable raised to the fourth power

covers fourth-degree equations and functions, not only polynomial form
biquadratic equation
vsquartic
  • Specialized
9.9

An equation where the highest power of the unknown number is four

applies more widely to functions and expressions beyond single equations
biquadrate
vsquartic
  • Specialized
9.9

An equation in which the highest power of the variable is four

is the general fourth-degree term used for equations and functions

Compounds

quartic polynomial
  • Specialized
9.9

A math expression with a variable raised to the fourth power as highest term

How High

quartic
  • Specialized
9.9
cubic
  • Specialized
2 5.2
quadratic
  • Specialized
7.0
linear
  • Specialized
19 4.9

Surface Forms

quartic singular
quartics plural

Morphology

quartic = quartic (opaque) = quart + ic

The noun is a substantivized form of the adjective 'quartic', but the classical numeral base quart- is not a productive or obvious pattern for an average B1 learner.

Etymology

Quartic comes from the root quart- meaning 'four', the same root you see in quartet and quarter. So a quartic equation is one whose highest power is four, which is why it describes a 'fourth' degree polynomial.