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Thus it must be the monic polynomial of least degree in I.
Substituting yields the usual form for when a quadratic is not monic.
The growl was low, rumbling, black as pitch, de- monic.
As we know that and hence is a monic polynomial of degree .
Make monic by dividing through its leading coefficient.
The monic and centered form has the following properties:
This sacrifice would destroy Kamsa, king of the de- monic forces.
He straightened, and the flickering of the torchlight over his face gave it a de- monic cast.
A polynomial with this property is known as a monic polynomial.
The polynomial is over a field so one can take f(X) to be monic without loss of generality.
The first example is synthetic division with only a monic linear denominator .
The monic element that generates I is precisely P.
Output: The set of monic irreducible factors of f.
Let be a monic, irreducible polynomial of degree .
Any monic polynomial is the characteristic polynomial of some matrix.
The minimal polynomial is the monic polynomial which generates I.
Very clever application of har- monic series and tightly reasoned.
We ask: which monic irreducibles occur in the factorization?
"That's a long incubation period, especially for the pneu- monic form.
Monic never achieved full governor status because of his misunderstandings with his senior lieutenants.
The left hand side of equation (2) is a monic trinomial called a depressed cubic.
Let μ be the monic polynomial which generates it.
That wicked wizard on the ledge, that embodiment of de- monic evil, had caused it.
You have become something foul-something de- monic!"
We can easily see that this is so by considering the quadratic formula and a monic polynomial with real coefficients.