What Does Constant Term Mean?

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What does Constant Term mean?

Definitions for Constant Termcon·stant term

This dictionary definitions page includes all the possible meanings, example usage and translations of the word Constant Term.

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1. Constant term

   In mathematics, a constant term is a term in an algebraic expression that does not contain any variables and therefore is constant. For example, in the quadratic polynomial x 2 + 2 x + 3 , {\displaystyle x^{2}+2x+3,\ } the 3 is a constant term.After like terms are combined, an algebraic expression will have at most one constant term. Thus, it is common to speak of the quadratic polynomial a x 2 + b x + c , {\displaystyle ax^{2}+bx+c,\ } where x {\displaystyle x} is the variable, as having a constant term of c . {\displaystyle c.} If the constant term is 0, then it will conventionally be omitted when the quadratic is written out. Any polynomial written in standard form has a unique constant term, which can be considered a coefficient of x 0 . {\displaystyle x^{0}.} In particular, the constant term will always be the lowest degree term of the polynomial. This also applies to multivariate polynomials. For example, the polynomial x 2 + 2 x y + y 2 − 2 x + 2 y − 4 {\displaystyle x^{2}+2xy+y^{2}-2x+2y-4\ } has a constant term of −4, which can be considered to be the coefficient of x 0 y 0 , {\displaystyle x^{0}y^{0},} where the variables are eliminated by being exponentiated to 0 (any non-zero number exponentiated to 0 becomes 1).

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1. Constant term

   In mathematics, a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term. After like terms are combined, an algebraic expression will have at most one constant term. Thus, it is common to speak of the quadratic polynomial where x is the variable, and has a constant term of c. If c = 0, then the constant term will not actually appear when the quadratic is written. It is notable that a term that is constant, with a constant as a multiplicative coefficient added to it, still constitutes a constant term as a variable is still not present in the new term. Although the expression is modified, the term itself classifies as constant. However, should this introduced coefficient contain a variable, while the original number has a constant meaning, this has no bearing if the new term stays constant as the introduced coefficient will always override the constant expression - for example, in when x is multiplied by 2, the result, 2x, is not constant; while 1 * -2 is -2 and still a constant.

How to pronounce Constant Term?

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How to say Constant Term in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Constant Term in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of Constant Term in Pythagorean Numerology is: 9

References

1. ^ Wikipediahttps://en.wikipedia.org/wiki/Constant_Term
2. ^ Wikidatahttps://www.wikidata.org/w/index.php?search=Constant Term

Translations for Constant Term

From our Multilingual Translation Dictionary

• konstante LaufzeitGerman
• konstanta terminoEsperanto
• स्थायी अवधिHindi
• 定数項Japanese
• ಸ್ಥಿರ ಪದKannada
• 일정한 기간Korean
• స్థిరమైన పదంTelugu
• 常数项Chinese

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"Constant Term." Definitions.net. STANDS4 LTD, 2026. Web. 19 Feb. 2026. <https://www.definitions.net/definition/Constant+Term>.

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