POLYNOMIALS!!

Degree
0 - Constant
1 - Linear
2 - Quadratic
3 - Cubic
4 - Quartic
5 - Quintic
6 - nth

Terms
monomial
binomial
trinomial
quadrinomial
polynomial

Quadradic Equations

Standard Form of a Circle :
ax^2 + bx +cy^2 +dy + e = 0

Distance Formula:

Midpoint Formula:



Slope Formula:

Dementions of Matrices

The first number in a matrix demention is the number of ROWS. The second number is the number of COLUMNS.

This is a 3x3 matrix, also known as a square matrix.

This is a IDENTITY MATRIX.                           

Error Analysis

Error Analysis #1 :
The Value of x s going up by 5, so the slope would not be 10/1 but 2. (10/5 reduced) thus making the equation of the function y = 9 + 2x for this t chart.

Error Analysis #2 :
The 'solution' (-1, 2) only solves one of the equations, for the coordinates to be the solution they have to solve BOTH equations.

Error Anaylsis #3 :
In the first graph (#22), because the equation is less than (<) the line should be dotted and not solid. the shading is correct.
In the second graph (#23) the shading should be below the SOLID line.

Error Anaylsis #4 :
On the first graph, because the symbol is greater than (>) the line should be dotted.
On the second graph the shading should be below the line because the equation is LESS THAN.

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Graphing Absolute Value Equations

y = a | x - h  | + k

• to find the vertex use (h,k)
• to find whether the graph opens up or down use the variable a.
• h tells you if the graph moves left or right
• k tells you if the graph moves up or down.

Inconsistent, Consistent, Dependent, Independent.

• Consistant sytems are systems the have solutions. Consistant Independent systems have ONE SOLUTION. (x,y)
• Consistant Dependent systems have INFINATE solutions. (same slope, same y intercept)
• Inconsistant sytems have NO SOLUTIONS. (same slope, different y intercepts.)