Polynomial and Algebra Concepts

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Polynomial

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A mathematical expression of one or more terms, each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.

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Leading Coefficient

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In a polynomial, the coefficient of the term with the highest degree.

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Degree

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In a polynomial, the value of the greatest exponent.

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Term

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Either a constant, a variable, or a number and variable multiplied together, separated by addition or subtraction signs.

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Factor

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A number or expression that divides another number or expression evenly with no remainder.

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Fundamental Theorem of Algebra

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States that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers.

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Domain

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The set of all input values (x-values) that satisfy the given function without restriction.

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Range

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The set of all outputs of a relation or function; the set of y-values for which a function is defined.

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X-intercept

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The point at which the graph crosses the x-axis (also called the zeros).

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Y-intercept

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The point at which the graph crosses the y-axis.