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Polynomials Intro definitions
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Polynomial
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Polynomial
An algebraic expression with variables raised only to positive whole number exponents and terms separated by plus or minus signs.
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Termini in questo insieme (15)
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Polynomial
An algebraic expression with variables raised only to positive whole number exponents and terms separated by plus or minus signs.
Monomial
A polynomial consisting of a single term, which may include variables and coefficients.
Binomial
A polynomial made up of exactly two terms, each separated by a plus or minus sign.
Trinomial
A polynomial that contains exactly three terms, each separated by addition or subtraction.
Exponent
A positive whole number indicating how many times a variable is multiplied by itself in a term.
Standard Form
A way of writing a polynomial with terms in descending order of exponents and all like terms combined.
Degree
The highest exponent found on any variable within a polynomial, determining its order.
Leading Coefficient
The numerical factor attached to the term with the highest exponent in a polynomial written in standard form.
Term
A part of a polynomial separated by plus or minus signs, consisting of a coefficient, variable(s), and exponent(s).
Coefficient
A numerical factor multiplying a variable or variables in a term of a polynomial.
Constant
A term in a polynomial that contains no variables, representing a fixed value.
Like Terms
Terms in a polynomial that have identical variable parts, including the same variables raised to the same exponents.
Descending Order
An arrangement of terms in a polynomial from highest to lowest exponent.
Algebraic Expression
A mathematical phrase involving variables, numbers, and operations, which may or may not be a polynomial.
Negative Exponent
An exponent less than zero, which disqualifies an expression from being a polynomial.