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Basic Algebraic Terms
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Polynomial
An algebraic expression with one or more terms where the exponents are whole numbers and the coefficients are real.
Solution
The value(s) of a variable that satisfies an equation, making the equation true
Rational Expression
A ratio of two polynomial expressions
Term
A single number, variable, or the product of numbers and variables in an algebraic expression
Monomial
An algebraic expression with only one term
Function
An expression that describes a relationship where each input (independent variable) is associated with exactly one output (dependent variable)
Expression
A combination of individual terms separated by plus or minus signs without an equals sign
Factor
A number or expression that divides another number or expression evenly
Quadratic Formula
A formula that provides the solutions to a quadratic equation of the form
Degree of a Term
The sum of the exponents of the variables in a single term
Binomial
An algebraic expression containing exactly two terms
Constant Term
A term in an algebraic expression that does not contain any variables and therefore does not change
Trinomial
An algebraic expression composed of three terms
Coefficient
A numerical or constant factor before a variable in an algebraic term
Equation
A mathematical statement that asserts the equality of two expressions, indicated by the equal sign
Degree of a Polynomial
The highest degree of any term in the polynomial
Variable
A symbol, typically a letter, used to represent a number in mathematical expressions and equations
Zero Product Property
States that if a product of factors equals zero, then at least one of the factors must equal zero
Vertex of a Parabola
The highest or lowest point on a parabola, which is a symmetrical point where the axis of symmetry intersects the parabola
Distributive Property
States that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products
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