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Glite Dictionary
quadratic polynomial

quadratic polynomial

7.7
A math expression with x squared, x, and a number where the x squared part is not zero
  • noun
  • /kwɒdrætɪk pəˈnəʊmɪəl/
  • Specialized
translation icon : polinomio cuadrático
  • To find the roots of a quadratic polynomial, you can use the quadratic formula.

Examples

  • This group was represented by a quadratic polynomial function.

    Academic text (2018)

  • This is a quadratic polynomial in Y.

  • This group was characterized by a quadratic polynomial function, and 84.4% of the sample was assigned to this group.

    Academic text (2018)

  • The equation y = 2x² + 3x + 1 represents a quadratic polynomial.

  • A standard form for a quadratic polynomial is ax² + bx + c, where a, b, and c are constants.

Synonyms

quadratic equation
vsquadratic polynomial
  • Specialized
3 5.1

An equation where the unknown number is multiplied by itself, for example ax² + bx + c = 0

is the polynomial expression form often not written with an equals sign
quadratic
vsquadratic polynomial
  • Specialized
7.0

An equation where the variable appears as a squared term

refers to the polynomial form ax^2 + bx + c with nonzero a

Surface Forms

quadratic polynomial singular
quadratic polynomials plural

Morphology

quadratic + polynomial

The meaning 'a polynomial of the second degree' is directly and transparently derived from combining 'quadratic' (second-degree) with 'polynomial' (an algebraic expression of summed terms). This is a regular nominal composition found across languages and follows standard mathematical terminology, so a learner who knows both constituents can readily understand the MWE.

Etymology

Quadratic polynomial comes from the parts quadratic, meaning 'square', and polynomial, meaning 'many parts'. So a quadratic polynomial is a polynomial where the variable is 'squared' as x², which is why it is called 'second degree'.