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Classification of Polynomials
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What kind of issue would you like to report? Suggest new examples or content. Please add your Comment Optional. Select the China site in Chinese or English for best site performance. Other MathWorks country sites are not optimized for visits from your location. Trial Software Product Updates. This is machine translation Translated by. Description lterm p returns the leading term of the polynomial p. The leading term of the zero polynomial is the zero polynomial.

Example 1 We demonstrate how various orderings influence the result: Example 2 The leading monomial is the product of the leading coefficient and the leading term: Return Values Polynomial of the same type as p.

See Also MuPAD Functions coeff degree degreevec ground lcoeff ldegree lmonomial monomials nterms nthcoeff nthmonomial nthterm poly poly2list tcoeff. This may be done in several ways, depending on which one of the variables is chosen as "the last one". There is an alternative convention, which may be useful e. In that case, this order defines a highest non-vanishing term in p , and p may be called monic, if that term has coefficient one. Notably, the product of monic polynomials again is monic.

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A polynomial consists of terms, which are also known as monomials. The leading term in a polynomial is the highest degree term. In this case, the leading term in is the first term, which is.

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Leading Term The term in a polynomial which contains the highest power of the variable. For example, 5 x 4 is the leading term of 5 x 4 – 6 x 3 + 4 x –

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Degree and Leading Coefficient Calculator. The calculator will find the degree, leading coefficient, and leading term of the given polynomial function. This polynomial has four terms, including a fifth-degree term, a third-degree term, a first-degree term, and a term containing no variable, which is the constant term. The largest power on any variable is the 5 in the first term, which makes this a degree-five polynomial, with 2 x 5 being the leading term.

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The leading term is the term with the highest power, and its coefficient is called the leading coefficient. How To: Given a polynomial expression, identify the degree and leading coefficient. Find the highest power of x to determine the degree. Writing the polynomial in descending order means in order of decreasing powers. The highest power of x in this polynomial is x 5 so I start with the x 5 term and then the x 4 term then the x 3 term and so on.