Definition:Quartic

Definition

The word quartic is used to indicate a mathematical expression of the $4$th degree.

Quartic Polynomial

A quartic polynomial is a polynomial of degree $4$.

Quartic Function

A quartic function is an expression of the form:

$\map Q x := a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4$

where $a_0, a_1, a_2, a_3, a_4$ are constants.

Quartic Equation

A quartic equation is a polynomial equation of the form:

$a x^4 + b x^3 + c x^2 + d x + e = 0$

such that $a \ne 0$.

Also known as

A quartic is also known as a biquadratic.

Also see

• Results about quartics can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): quartic (biquadratic)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): quartic (biquadratic)