different between quintic vs quadratic

English

Etymology

From Latin quintus (“fifth”) +? -ic (“of pertaining to”).

Adjective

quintic (not comparable)

1. (mathematics) Of or relating to the fifth degree, such as a quintic polynomial which has the form ax⁵+bx⁴+cx³+dx²+ex+f (containing a term with the independent variable raised to the fifth power).

Noun

quintic (plural quintics)

1. (mathematics) a quintic polynomial: ax⁵+bx⁴+cx³+dx²+ex+f

Derived terms

• quintic equation
• quintic function

English

Alternative forms

• quadratick (obsolete)

Etymology

From French quadratique (1765), from Latin quadr?tus + -ique (English -ic), form of quadr? (“I make square”), from qu?drus (“square”), ultimately from Proto-Indo-European *k?etwóres (“four”), whence also Latin quartus (“four”).

Adjective

quadratic (not comparable)

1. square-shaped
2. (mathematics) of a polynomial, involving the second power (square) of a variable but no higher powers, as ${\displaystyle ax^{2}+bx+c}$.
3. (mathematics) of an equation, of the form ${\displaystyle ax^{2}+bx+c=0}$.
4. (mathematics) of a function, of the form ${\displaystyle y=ax^{2}+bx+c}$.

Translations

Noun

quadratic (plural quadratics)

1. (mathematics) A quadratic polynomial, function or equation.

Usage notes

Not to be confused with quartic (“degree four”). Both derive ultimately from Proto-Indo-European *k?etwóres (“four”), with quadratic coming from “four-sided”, hence “square, two-dimensional, degree two”.

Derived terms

Related terms

See also

• square

References

Further reading

• quadratic in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• quadratic in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• quadratic at OneLook Dictionary Search