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Degree (mathematics)
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For the corresponding concept in geometry, see Degree (angle).
The degree of a polynomial [math]p(x)[/math], represented by the symbol [math]\deg (p(x))[/math], is the highest exponent that occurs inside that polynomial.^{[1]}^{[2]}^{[3]}
For example, if we look at the polynomial [math]2x^3  7x^2 + 5x  4[/math], then we can see that the degree of this polynomial is 3, because the highest power in the variable x is 3. It occurs in the term [math]x^3[/math].
The name of the variable is not important. For example, the polynomial [math]6y^5 + 2y^3  25y  58[/math] has degree 5, because the highest power of the variable, in this case y, is 5, which occurs in the term [math]y^5[/math].
Related pages
 Fundamental theorem of algebra, a theorem which states that a polynomial of degree n has n complex roots.
References
 ↑ "Comprehensive List of Algebra Symbols" (in enUS). 20200325. https://mathvault.ca/hub/highermath/mathsymbols/algebrasymbols/.
 ↑ "Degree (of an Expression)". https://www.mathsisfun.com/algebra/degreeexpression.html.
 ↑ Weisstein, Eric W.. "Polynomial Degree" (in en). https://mathworld.wolfram.com/PolynomialDegree.html.
