Question

Name The Polynomial On The Basis Of Degree

Answer 1

heya,

The degree of a polynomial is the highest of the degrees of its monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer. The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a polynomial (disambiguation)). For example, the polynomial {\displaystyle 7x^{2}y^{3}+4x-9,} {\displaystyle 7x^{2}y^{3}+4x-9,} which can also be expressed as {\displaystyle 7x^{2}y^{3}+4x^{1}y^{0}-9x^{0}y^{0},} {\displaystyle 7x^{2}y^{3}+4x^{1}y^{0}-9x^{0}y^{0},} has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

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