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Basic Algebraic Terms

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Degree of a Polynomial

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The highest degree of any term in the polynomial

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Term

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A single number, variable, or the product of numbers and variables in an algebraic expression

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Constant Term

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A term in an algebraic expression that does not contain any variables and therefore does not change

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Factor

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A number or expression that divides another number or expression evenly

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Expression

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A combination of individual terms separated by plus or minus signs without an equals sign

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Rational Expression

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A ratio of two polynomial expressions

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Binomial

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An algebraic expression containing exactly two terms

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Quadratic Formula

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A formula that provides the solutions to a quadratic equation of the form ax2+bx+c=0ax^2 + bx + c = 0

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Polynomial

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An algebraic expression with one or more terms where the exponents are whole numbers and the coefficients are real.

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Coefficient

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A numerical or constant factor before a variable in an algebraic term

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Equation

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A mathematical statement that asserts the equality of two expressions, indicated by the equal sign

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Monomial

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An algebraic expression with only one term

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Trinomial

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An algebraic expression composed of three terms

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Variable

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A symbol, typically a letter, used to represent a number in mathematical expressions and equations

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Degree of a Term

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The sum of the exponents of the variables in a single term

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Function

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An expression that describes a relationship where each input (independent variable) is associated with exactly one output (dependent variable)

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Solution

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The value(s) of a variable that satisfies an equation, making the equation true

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Zero Product Property

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States that if a product of factors equals zero, then at least one of the factors must equal zero

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Vertex of a Parabola

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The highest or lowest point on a parabola, which is a symmetrical point where the axis of symmetry intersects the parabola

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Distributive Property

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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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