Difference between revisions of "Monic polynomial"

 
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A [[polynomial]] <math>P(x)</math> is said to be '''monic''' if it is of the form <math>P(x) = x^n + a_{n-1}x^{n-1} + \cdots + a_0</math>, i.e. the [[coefficient]] of the highest-[[degree of a polynomial | degree]] term (the leading coefficient) is 1.
 
A [[polynomial]] <math>P(x)</math> is said to be '''monic''' if it is of the form <math>P(x) = x^n + a_{n-1}x^{n-1} + \cdots + a_0</math>, i.e. the [[coefficient]] of the highest-[[degree of a polynomial | degree]] term (the leading coefficient) is 1.
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Latest revision as of 21:17, 23 December 2016

A polynomial $P(x)$ is said to be monic if it is of the form $P(x) = x^n + a_{n-1}x^{n-1} + \cdots + a_0$, i.e. the coefficient of the highest- degree term (the leading coefficient) is 1.


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