Polynomial Unit Vocabulary
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This document defines common mathematical terms related to polynomials including: power, base, exponent, monomial, constant monomial, polynomial, binomial, trinomial, numerical coefficient, like terms, simplest form, degree of a monomial/polynomial, order of operations, product of power rule, power of power rule, power of product rule, linear term, quadratic term, and cubic term. It provides concise explanations of each term.
Polynomial Unit Vocabulary
- 1. TermsDefinitionsPowerThe product when a number is multiplied by itself a given number of times.BaseIn a power, the number that is used as a factor.ExponentIn a power, the superscripted number that tells how many times the base is used as a factor.MonomialAn expression that is either a numeral, a variable, or the product of a numeral and one or more variables.Constant MonomialA number.PolynomialA sum of monomials.BinomialA polynomial with two terms.TrinomialA polynomial with three terms.Numerical CoefficientThe number in front of the variable part of a monomial.Similar or Like TermsTwo monomials that are exactly alike except for their numerical coefficients.Polynomial in Simplest FormA polynomial with no like terms.Degree of a MonomialThe sum of the degrees of its variables.Degree of a PolynomialThe greatest of the degrees of its terms after it has been simplified.Summary of Order of Operations1) Simplify within grouping symbols. 2) Simplify powers. 3) Simplify products and quotients from left to right. 4) Simplify sums and differences from left to right.Product of Power RuleTo multiply powers having the same base, add the exponents.Power of Power RuleTo find a power of a power, multiply the exponents.Power of Product RuleTo find the power of a product, find the power of each factor and then multiply.Linear TermA term with a degree of one.Quadratic termA term with a degree of two.Cubic TermA term with a degree of three.<br />