Definitions for quadratic polynomial
qua·drat·ic po·ly·no·mi·al

Princeton's WordNetRate this definition:0.0 / 0 votes

1. quadratic, quadratic polynomialnoun

   a polynomial of the second degree

WikipediaRate this definition:0.0 / 0 votes

1. quadratic polynomial

   In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial. Before 20th century, the distinction was unclear between a polynomial and its associated polynomial function; so "quadratic polynomial" and "quadratic function" were almost synonymous. This is still the case in many elementary courses, where both terms are often abbreviated as "quadratic". For example, a univariate (single-variable) quadratic function has the form f ( x ) = a x 2 + b x + c , a ≠ 0 , {\displaystyle f(x)=ax^{2}+bx+c,\quad a\neq 0,} where x is its variable. The graph of a univariate quadratic function is a parabola, a curve that has an axis of symmetry parallel to the y-axis. If a quadratic function is equated with zero, then the result is a quadratic equation. The solutions of a quadratic equation are the zeros of the corresponding quadratic function. The bivariate case in terms of variables x and y has the form f ( x , y ) = a x 2 + b x y + c y 2 + d x + e y + f , {\displaystyle f(x,y)=ax^{2}+bxy+cy^{2}+dx+ey+f,} with at least one of a, b, c not equal to zero. The zeros of this quadratic function is, in general (that is, if a certain expression of the coefficients is not equal to zero), a conic section (a circle or other ellipse, a parabola, or a hyperbola).

ChatGPTRate this definition:0.0 / 0 votes

1. quadratic polynomial

   A quadratic polynomial is a polynomial of the second degree, which can be represented by the general formula ax^2+bx+c where a, b, and c are constants, a ≠ 0, and x is a variable. It produces a graph in the shape of a parabola when plotted on a graph.

WikidataRate this definition:3.8 / 4 votes

1. Quadratic polynomial

   In mathematics, a quadratic polynomial or quadratic is a polynomial of degree two, also called second-order polynomial. That means the exponents of the polynomial's variables are no larger than 2. For example, is a quadratic polynomial, while is not.

Matched Categories

1. • Polynomial

How to pronounce quadratic polynomial?

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How to say quadratic polynomial in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of quadratic polynomial in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of quadratic polynomial in Pythagorean Numerology is: 1

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=quadratic polynomial
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Quadratic_Polynomial
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=quadratic polynomial