Term
|
Definition
For every positive integer n, (a+b)n =
nC0an + nC1........ |
|
|
Term
|
Definition
| A selction in which order does NOT matter |
|
|
Term
|
Definition
| Number pairs of the form a+bi and a-bi |
|
|
Term
|
Definition
| Number pairs of the form a+√b and a-√b |
|
|
Term
|
Definition
| The exponent of the variable in a term determines this |
|
|
Term
|
Definition
| the largest degree of any term of the polynomial |
|
|
Term
|
Definition
| a3 - b3 = (a - b)(a2 - ab + b2) |
|
|
Term
|
Definition
| a binomial being raised to a power, first multiply; then write the result as a polynomial in standard form. |
|
|
Term
|
Definition
| The expression x - a is a linear factor of a polynomial if and only if the value a is a zero of the related polynomial function. |
|
|
Term
| Fundamental Theorem of Algebra |
|
Definition
| If P(x) is a polynomial of degree n≥ 1 with complex coefficients, then P(x) = 0 has at least one complex root. |
|
|
Term
|
Definition
| If the number a + bi is a root of the polynomial equation with real coefficients, then the conjugate a - bi also is a root. |
|
|
Term
|
Definition
| If a + √b is a root of a polynomial equation with rational coefficients, then the conjugate a - √b also is a root. |
|
|
Term
|
Definition
|
|
Term
|
Definition
number of times the zero occurs
or
related linear factor isrepeated |
|
|
Term
|
Definition
| For any positive integer n,n! = n(n-1)..... |
|
|
Term
|
Definition
| array of numbers formed by first lining the border with 1's and then placing the sum of two adjacent numbers within a row between and underneath the two original numbers |
|
|
Term
|
Definition
| arrangementof items in a particular order |
|
|
Term
|
Definition
| a monomial or sum of monomials |
|
|
Term
|
Definition
P(x) = anxn + an-1xn-1 +.......
where n is a nonnegative integer and the coefficients an,.....,a0 are real numbers |
|
|
Term
|
Definition
| If p/q is in simplest form and is a rational root of the polynomial equation ......... with integer coefficients, then p must be a factor of..... |
|
|
Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
| If a polynomial P(x) of degree n ≥ 1 is divided by (x-a), where a is a constant, then P(a) is left |
|
|
Term
| Standard Form of a Polynomial |
|
Definition
| "descending order by degree" |
|
|
Term
|
Definition
| opposite of difference of cubes! HA! EASY :) |
|
|
Term
|
Definition
| to divide by a linear factor, use this simplified process |
|
|
