biquadratic adj : of or relating to the fourth power
2 an equation of the fourth degree [syn: biquadratic equation]
- Of a polynomial expression, involving only the second and fourth powers of a variable, as x4 + 3x2 + 2. Sometimes extended to any expression involving the fourth power of variable (but no higher powers), as x4 − 4x3 + 3x2 − x + 1.
A quartic function is a function of the form
- f(x)=ax^4+bx^3+cx^2+dx+e \,
with nonzero a; or in other words, a polynomial function with a degree of four. Such a function is sometimes called a biquadratic function, but the latter term can occasionally also refer to a quadratic function of a square, having the form
- ax^4+bx^2+c \,,
or a product of two quadratic factors, having the form
- (ax^2+bx+c)(dy^2+ey+f) \,.
On finding the roots, see Quartic equation.
biquadratic in French: Courbe quartique
biquadratic in Polish: Wielomian stopnia czwartego