Matrices
Solving Systems using Matrices:
A matrix is an array of numbers arranged in rows and columns.
ex.
Algebra
Forum reference:
Book page:
http://course-notes.org/Algebra
Systems Involving Nonlinear Systems of Equations
ex.
y = x + 2
x2 + y2 = 9
Graphing the two equations reveal a circle with radius of 3 and the origin as its center and a line whose x and y intercepts are x = -2 and y = 2.
System of Inequalities
Solving systems of inequalities rely heavily on graphing of the equations to find the solutions.
ex.
x > 3
y < -2
first, graph the lines x = 3 and y = -2
System of Equations
System of two linear equations in two variables:
Ax + By = C
Ex + Fy = G
The Substitution Method:
ex.
x + y = 2
2x - y = 7
Properties of Logarithms
Because the exponential function and the logarithmic function having the same base b are inverse functions of each other, it is true that
Logarithmic Functions
Logarithmic Functions
Given the exponential function
f(x) = y = bx
Graphing Rational Functions
A function of the form:
were p(x) and q(x) are polynomial functions; this is a rational function.
The Rational Root Theorem
In the polynomial;
Polynomial Equations and Functions
A polynomial equation or function with degree n has n number of solutions; for example, a polynomial with a degree of three has three solutions.
ex.
(x - 4)3(x + 7)2(x + 2) = 0
The Factor Theorem
If f(c) = 0 then x - c is a factor of the polynomial function f(x).
ex.
Is (x + 5) a factor of x3+ 7x2+ 7x- 15.
Pages
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