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Trinomial
A trinomial is a special type of polynomial that consists of exactly three terms. It is formed by combining exactly three monomials using addition or subtraction. Examples of trinomials include , , , and .
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References
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Elementary Algebra
OpenStax Intermediate Algebra
OpenStax Intermediate Algebra
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OpenStax
Elementary Algebra @ OpenStax
Ch.6 Polynomials - Elementary Algebra @ OpenStax
Algebra
Math
Ch.7 Factoring - Elementary Algebra @ OpenStax
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Intermediate Algebra @ OpenStax
Ch.5 Polynomials and Polynomial Functions - Intermediate 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
Adding and Subtracting Polynomials
Rational Expression
A retail manager is categorizing different algebraic expressions used in inventory reports. Match each specific polynomial name with the correct description of its terms.
A project manager uses the algebraic expression 5x^2 + 12x - 100 to calculate the projected profit for a new product line. Based on the number of terms in this expression, what is the specific name for this type of polynomial?
A sales manager uses the expression 15x + 500 to represent the total daily earnings, where x is the number of units sold. Because this expression consists of exactly two terms joined by addition, it is specifically called a ____.
General Classification of Business Formulas
A project manager is categorizing algebraic formulas used in a cost-estimation software. True or False: If a formula is specifically identified as a 'binomial' or a 'trinomial' based on the number of terms it contains, it is still technically classified as a member of the broader polynomial family.
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).
Standardizing Terminology for a Corporate Formula Library
Standardizing Algebraic Terminology for Technical Documentation
A data analyst is organizing a library of algebraic formulas used in various company reports. The analyst uses special names for polynomials with one, two, or three terms (monomial, binomial, and trinomial). According to standard mathematical naming conventions, what is the specific name used for a polynomial that contains four or more terms?
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Polynomial Equation
Learn After
A logistics coordinator uses the expression 2x^2 + 15x + 400 to calculate the total shipping costs for x number of heavy-duty crates. Because this mathematical expression contains exactly three terms, what is the specific name for this type of polynomial?
A warehouse manager uses the expression 3x^2 + 15x + 500 to model the total cost of storing x units of inventory. Because this algebraic expression contains exactly three terms, it is specifically classified as a ____.
A landscape architect uses the expression 5x^2 - 2x + 15 to calculate the amount of mulch needed for a project. True or False: This expression is classified as a trinomial because it contains exactly three terms.
Defining Trinomials in Business Cost Models
A technical documentation specialist is creating a glossary for an engineering firm to help staff classify their financial models. Match each algebraic term or example to its correct description to ensure all project formulas are accurately labeled.
Standardizing Office Formulas
A warehouse manager is organizing cost formulas for a new inventory tracking system. To ensure the database correctly labels each formula, arrange the following expressions in order based on the number of terms they contain, starting with the expression that has the fewest terms and ending with the one specifically classified as a trinomial.
Classification of Manufacturing Efficiency Models
A billing specialist is auditing service fee formulas for a telecommunications company. To ensure the database correctly categorizes tiered pricing models, the specialist needs to identify which formula is classified as a trinomial. Which of the following expressions should be labeled as a trinomial?
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Classifying Polynomials as Monomial, Binomial, Trinomial, or Polynomial