Quartic function

Graph of a polynomial of degree 4, with 3 critical points and four real roots (crossings of the x axis) (and thus no complex roots). If one or the other of the local minima were above the x axis, or if the local maximum were below it, or if there were no local maximum and one minimum below the x axis, there would only be two real roots (and two complex roots). If all three local extrema were above the x axis, or if there were no local maximum and one minimum above the x axis, there would be no real root (and four complex roots).

This article is about the univariate quartic. For the bivariate quartic, see Quartic plane curve.

In algebra, a quartic function is a function of the form

where a is nonzero, which is defined by a polynomial of degree four, called quartic polynomial.

Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form

单词	Biquadratic polynomial
释义	Biquadratic polynomial 英语百科 Quartic function This article is about the univariate quartic. For the bivariate quartic, see Quartic plane curve. In algebra, a quartic function is a function of the form where a is nonzero, which is defined by a polynomial of degree four, called quartic polynomial. Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form
随便看	pentahydrate crude的意思 pentahydrate的意思 pentahydrate of Sodium Selenite的意思 pentahydrate的意思 pentahydric的意思 pentahydric acid的意思 pentahydric alcohol的意思 pentahydric alcohols的意思 pentahydrite的意思 pentahydro的意思 pentahydroborite的意思 Pentahydrocalcite的意思 pentahydroxide的意思 pentahydroxides的意思 pentahydroxy的意思 pentahydroxy acid的意思 pentahydroxyacid的意思 pentahydroxyalcohol的意思 pentahydroxy alcohol的意思 pentahydroxybenzen的意思 pentahydroxybenzene的意思 pentahydroxybenzophenone的意思 Pentahydroxybufostane的意思 pentahydroxycaproic acid的意思 pentahydroxy dibasic acid的意思

Biquadratic polynomial

Quartic function