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What is Coefficient mean?
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b and c). When variables appear in the coefficients, they are often called parameters, and must be clearly distinguished from those representing other variables in an expression.
For example,
2 x 2 − x + 3 {\displaystyle 2x^{2}-x+3} , has the real coefficients 2, -1, and 3 respectively, and
a x 2 + b x + c {\displaystyle ax^{2}+bx+c} , has coefficient parameters a, b, and c respectively assuming x is the variable of the equation.
The constant coefficient is the coefficient not attached to variables in an expression. For example, the constant coefficients of the expressions above are the real coefficient 3 and the parameter represented by c.
Similarly, the coefficient attached to the highest multiplicity of the variable in a polynomial is referred to as the leading coefficient. For example in the expressions above, the leading coefficients are 2 and the parameter represented by a.
The binomial coefficients occur in the expanded form of ( x + y ) n {\displaystyle (x+y)^{n}} , and are tabulated in Pascal's triangle.
referencePosted on 02 Jan 2025, this text provides information on Miscellaneous in Space Science related to Space Science. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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