biquadratic polynomial

9.9

A math expression whose highest power of x is four

noun
/ˌbaɪkwɒdrætɪk pəˈlɪnəʊmiəl/

Specialized

: polinomio biquadrático

In mathematics, a biquadratic polynomial has the general form ax⁴ + bx³ + cx² + dx + e.

Examples

Solving a biquadratic polynomial often requires specialized algebraic techniques.
The equation can be rewritten as a biquadratic polynomial for easier factoring.
The equation is a biquadratic polynomial.
Can you solve the biquadratic polynomial for x?
In mathematics, a biquadratic polynomial has the general form ax⁴ + bx³ + cx² + dx + e.
Solving a biquadratic polynomial often requires specialized algebraic techniques.
The equation can be rewritten as a biquadratic polynomial for easier factoring.

Synonyms

fourth power

vsbiquadratic polynomial

Specialized

1 7.3

A number multiplied by itself four times

is the algebraic object made by combining those power terms into one expression

quartic polynomial

vsbiquadratic polynomial

Specialized

9.9

A math expression with a variable raised to the fourth power as highest term

is the same concept but expressed as a sum of power terms

biquadratic

vsbiquadratic polynomial

Specialized

9.9

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

is the same degree specifically shown in power-sum expressions

quartic

vsbiquadratic polynomial

Specialized

9.9

An equation with the highest power of four

is focused on the case where that degree appears as a sum of powers

biquadrate

vsbiquadratic polynomial

Specialized

9.9

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

is the narrower label used when the degree appears as summed powers

biquadratic equation

vsbiquadratic polynomial

Specialized

9.9

An equation where the highest power of the unknown number is four

is the related algebraic object described without an equals sign

Surface Forms

biquadratic polynomial singular

biquadratic polynomials plural

Morphology

biquadratic + polynomial

This is a fully compositional technical term: 'biquadratic' specifies the fourth-power form and 'polynomial' denotes an algebraic expression, so the phrase directly means a polynomial of degree four. The morphological and mathematical logic is regular and cross-linguistically consistent, so a learner who knows both constituents would readily infer the meaning.

Etymology

The term biquadratic polynomial comes from the parts bi, meaning 'two', and quadratic, meaning 'square', so it literally means a 'square of a square'. A 'square of a square' is a 'power' of four, so a biquadratic polynomial is a polynomial whose highest 'power' is four.