Ch 5: Polynomials and Polynomial Functions Part A & B

24 terms by iluv_16 

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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.

Degree of a Monomial

Is one variable in the exponent of the variable.

Polynomial

Is a monomial or a sum of monomials.

Degree of a Polynomial

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

Polynomial Function

A polynomial with the variable x.

Standard form of a polynomial function

Arranges the terms by degree in descending numerical order.

Turning Point

Places where the graph changes direction.

End Behavior

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

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.

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.

Multiplicity

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

Relative Maximum

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

Relative Minimum

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

Sum of Cubes

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Difference of Cubes

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Synthetic Division

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

Remainder Theorem

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

Rational Root Theorem

Limited number of possible roots.

Fundamental Theorem of algebra

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Expand

The power of a binomial in general.

Pascals Triangle

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

Binomial Theorem

Gives a general formula for expanding a binomial.

Power Function

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

Constant of Proportionality

The constant a in the power function.

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