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Monomial

Is a real number, a variable, or a product of a real number and one or more variables with whole-exponents.

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Degree of a Monomial

Is one variable in the exponent of the variable.

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Polynomial

Is a monomial or a sum of monomials.

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Degree of a Polynomial

In one variable is the greatest degree among its monomial terms.

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Polynomial Function

A polynomial with the variable x.

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Standard form of a polynomial function

Arranges the terms by degree in descending numerical order.

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Turning Point

Places where the graph changes direction.

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End Behavior

The directions of the graph to the far left and to the far right.

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Factor Theorem

The expression x - a is a linear factor of a polynomial if and only if the value of a root of the related polynomial function.

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Multiple Zero

If a linear factor is repeated in the complete factored form of a polynomial, the zero related to that factor is a multiple zero.

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Multiplicity

Is the number of times the related linear factor is repeated in the factored form of the polynomial.

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Relative Maximum

Is the value of the function at an up-to-down turning point.

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Relative Minimum

Is the value of the function at a down-to-up turning point.

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Synthetic Division

Simplifies the long-division process for dividing by a linear expression x - a.

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Remainder Theorem

Provides a quick way to find the remainder of a polynomial long-division problem.

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Rational Root Theorem

Limited number of possible roots.

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Fundamental Theorem of algebra

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Expand

The power of a binomial in general.

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Pascals Triangle

Is a triangular array of numbers in which the first and last number of each row is 1.

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Binomial Theorem

Gives a general formula for expanding a binomial.

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Power Function

Is a function where a and b are nonzero real numbers.

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Constant of Proportionality

The constant a in the power function.

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