POLYNOMIAL FUNCTIONS
1
REMAINDER THEOREM AND FACTOR THEOREM
2
REMAINDER THEOREM AND FACTOR THEOREM
If P is a polynomial function, then the values of x for which
P(x) is equal to 0 are called the zeros of P.
For instance, 1 is a zero of P(x) = 2x3 x + 1 be
ALGEBRAIC CURVES
1
Vertical and Horizontal Asymptotes
If P(x) and Q(x) are polynomials, then the function F given by
is called a rational function. The domain of F is the set of all real
numbers except those for which Q(x) = 0.
For example, let
Setting th
Nonlinear Systems of Equations
Solving Nonlinear Systems of
Equations
2
Solving Nonlinear Systems of Equations
A nonlinear system of equations is one in which one or
more equations of the system are not linear equations.
In this section, we will only cons
Algebra of Matrices
1
Addition and Subtraction of
Matrices
2
Addition and Subtraction of Matrices
In addition to being convenient for solving systems of
equations, matrices are useful tools for modeling problems
in business and science.
One prevalent appl
RELATIONS, FUNCTIONS AND
GRAPHS
1
RELATIONS AND FUNCTIONS
Relation
is referred to as any set of ordered pair.
conventionally, It is represented by the ordered pair ( x , y ).
x is called the first element or x-coordinate while y is the
second element o
LINEAR AND QUADRATIC
FUNCTIONS AND ITS GRAPHS
1
LINEAR FUNCTIONS
Slope of a Line
A function can be written in the form is called a linear
function because its graph is a straight line.
Graphs of linear functions are characterized by having a
constant ri
Determinants
Determinant of a 2 2 Matrix
2
Determinant of a 2 2 Matrix
Associated with each square matrix A is a number called
the determinant of A.
We will denote the determinant of the matrix A by
det(A) or by | A |.
Definition of the Determinant of a 2
SECTION 10.1
Matrices
2
Introduction to Matrices
3
Introduction to Matrices
A matrix is a rectangular array of numbers. Each number
in a matrix is called an element of the matrix.
The matrix below, with three rows and four columns, is
called a 3 4 (read 3