Ch 5: Polynomials and Polynomial Functions Part A & B
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.
Is a monomial or a sum of monomials.
Degree of a Polynomial
In one variable is the greatest degree among its monomial terms.
A polynomial with the variable x.
Standard form of a polynomial function
Arranges the terms by degree in descending numerical order.
Places where the graph changes direction.
The directions of the graph to the far left and to the far right.
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.
If a linear factor is repeated in the complete factored form of a polynomial, the zero related to that factor is a multiple zero.
Is the number of times the related linear factor is repeated in the factored form of the polynomial.
Is the value of the function at an up-to-down turning point.
Is the value of the function at a down-to-up turning point.
Sum of Cubes
Difference of Cubes
Simplifies the long-division process for dividing by a linear expression x - a.
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
The power of a binomial in general.
Is a triangular array of numbers in which the first and last number of each row is 1.
Gives a general formula for expanding a binomial.
Is a function where a and b are nonzero real numbers.
Constant of Proportionality
The constant a in the power function.