What does constant term mean?
Definitions for constant term
con·stant term
This dictionary definitions page includes all the possible meanings, example usage and translations of the word constant term.
Wikipedia
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).
Wikidata
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.
Numerology
Chaldean Numerology
The numerical value of constant term in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of constant term in Pythagorean Numerology is: 9
Translations for constant term
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"constant term." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/constant+term>.
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