# 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.

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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.

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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.

Example: