See Degree of a polynomial # The degree computed from the function values.
2.
The function " f " can be the magnitude of the number, or the degree of a polynomial.
3.
The functions deg ( ) and rem ( ) denote the degree of a polynomial and the remainder of the Euclidean division.
4.
We may speak of the " degree " of a Diophantine set as being the least degree of a polynomial in an equation defining that set.
5.
The words degree and order are used interchangeably, according to degree of a polynomial . talk ) 12 : 37, 22 October 2010 ( UTC ).
6.
Explicitly, it is used to define the degree of a polynomial and the notion of homogeneous polynomial, as well as for graded monomial orderings used in formulating and computing Taylor series in several variables.
7.
That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero degree of that indeterminate in that term; the degree of the term is the sum of the degrees of the indeterminates in that term, and the degree of a polynomial is the largest degree of any one term with nonzero coefficient.
8.
I've always used the word " degree " for things like the exponent in " x " 3, and said that the degree of a polynomial is the exponent of the highest-degree ( not highest-" order " ) term . " Order ", on the other hand, I use for differential operators; thus one can speak of a second-order differential equation.
9.
To determine the degree of a polynomial that is not in standard form ( for example ( x + 1 ) ^ 2-( x-1 ) ^ 2 ), one has to put it first in standard form by expanding the products ( by distributivity ) and combining the like terms; for example ( x + 1 ) ^ 2-( x-1 ) ^ 2 = 4x is of degree 1, even though each summand has degree 2.
Meaning
the degree of the term in the polynomial that has the highest degree
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