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Glite Dictionary
quartic polynomial

quartic polynomial

9.9
A math expression with a variable raised to the fourth power as highest term
  • noun
  • /ˈkwɔrtɪk pəˈnəʊmiəl/
  • Specialized
translation icon : polinomio cuártico
  • Graphing a quartic polynomial can reveal up to four real roots and three turning points.

Examples

  • He found that the best-fit curve was a quartic polynomial rather than a simple quadratic.

  • A quartic polynomial can have up to four real roots.

  • The equation forms a quartic polynomial that needs to be solved for x.

  • The equation of a quartic polynomial is often complex.

  • Graphing a quartic polynomial can reveal up to four real roots and three turning points.

  • The equation forms a quartic polynomial that needs to be solved for x.

  • He found that the best-fit curve was a quartic polynomial rather than a simple quadratic.

Synonyms

biquadratic polynomial
vsquartic polynomial
  • Specialized
9.9

A math expression whose highest power of x is four

is the same concept but uses a different commonly used label
biquadratic
vsquartic polynomial
  • Specialized
9.9

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

is the same idea but presented using a different common name
quartic
vsquartic polynomial
  • Specialized
9.9

An equation with the highest power of four

is the same mathematical object but named with another standard term
biquadrate
vsquartic polynomial
  • Specialized
9.9

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

is the same mathematical form but is the more common modern label

Surface Forms

quartic polynomial singular
quartic polynomials plural

Morphology

quartic + polynomial

The meaning is directly compositional: 'quartic' denotes 'degree four' and 'polynomial' denotes an algebraic expression, so together they mean 'a polynomial of degree four.' This follows standard adjective–noun modification and is cross-linguistically transparent in mathematical terminology, so a learner who knows both constituents will understand the phrase.

Etymology

The term quartic polynomial comes from two parts: quartic meaning 'four' and polynomial meaning an expression with 'many terms'. So it means an algebra expression whose highest power of x is four, and the 'four' is an easy memory hook for its meaning.