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Degree of a Polynomial
The degree of a polynomial is the highest degree among all of its individual terms. To find it, first determine the degree of each term by summing the exponents of its variables, then select the greatest value. For example, in the trinomial , the three terms have degrees 4, 5, and 6 respectively, so the degree of the polynomial is 6. Similarly, has term degrees 4, 3, 2, 1, and 0, making the polynomial's degree 4.
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Ch.6 Polynomials - Elementary Algebra @ OpenStax
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Binomial
Trinomial
Classifying Polynomials as Monomial, Binomial, Trinomial, or Polynomial
Degree of a Polynomial
Standard Form of a Polynomial
Finding the Degree of Polynomials
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Rational Expression
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A systems analyst is categorizing a library of algebraic scripts used for automated financial reporting. The scripts must be indexed based on the number of terms they contain. Arrange the following special names for polynomials in the correct order, starting with the classification representing exactly one term (1) and ending with the classification representing exactly three terms (3).
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Polynomial Equation
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A data analyst uses the polynomial expression 8x^2y^4 - 3x^3y + 12 to model the efficiency of a processing plant. Based on the definition of a polynomial's degree, what is the degree of this expression?
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A logistics manager uses polynomial expressions to model shipping costs based on weight (x) and distance (y). To analyze the complexity of the cost model, the manager needs to identify the degree of each individual term. Match each term from the cost expression 15x^3 + 4x^2y^2 + 7xy + 12 with its correct degree.
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A logistics coordinator is updating a software system that uses a polynomial expression to calculate fuel surcharges. To properly configure the system's complexity settings, the coordinator must determine the degree of the polynomial. Arrange the following steps in the correct order to find the degree of a polynomial.
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A systems analyst is auditing the calculation scripts for a corporate billing engine. Each script uses a polynomial expression to determine processing fees, and the 'Complexity Score' of each script is defined as the degree of its polynomial. Match each script's polynomial expression with its correct Complexity Score (Degree).
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Degree of a Polynomial Equation
Quadratic Equation