Matrices
Quadratics
Algebra I
Polynomial Expressions
Polynomial Graphs
Miscellaneous
Polynomial Thms
100
The order in which the dimensions of a matrix are listed
rows x columns
100
The type of graph that quadratics produce
Parabolas
100
What is the solution to any system of two equations?
Their intersection point
100
Name the given polynomial 3x5 - 54
Quintic Binomial
100
Increasing and decreasing intervals are described with these values.
x-values
100
Roots, zeros, solutions, are all names for what?
x-intercepts
100
This tells us the maximum number of possible rational roots.
Degree
200
What has to be true in order to multiply two matrices together?
Columns of the first must match the rows of the second
200
Two complex numbers, in the form a + bi, that when multiplied always result in a real number
Complex Conjugates
200
Place the following in slope-intercept form
6x+2y=22
y=-3x+11
200
Simplify x2+6x-10 - (-2x2+5x)
3x2+x-10
200
Determines if the graph will cross or bounce at a given root.
Multiplicity
200
Square matrix filled with ones on the diagonal and zeros everywhere else.
Identity Matrix
200
This theorem tells us that if 3+i is a root, so is 3-i
Conjugate Root Thm
300
Draw the additive identity for a 3x4 matrix.
3x4 zero matrix
300
Solve with square roots. Don't forget +/-.
2x^2+42=6
+- 3isqrt2
300
Solve the equation 
All real numbers
300
3(2x +1)(4x +5)
24x2 + 42x +15
300
State the end behavior for the given function without graphing it:
-3x^7+5x^3-12x-100
x --> infinity f(x) --> -infinity
x --> -infinity f(x) --> infinity
300
The simplest form of any function in a given group of functions.
Parent function
300
List the possible rational roots
x^5-8x^3+2x^2-12
{(+/- )12, 6, 4, 3, 2, 1}
400
See Ms. Rogers
400
Factor and solve: x2 + 5x = -6
(x + 2)(x + 3) = 0 ; {-2, -3}
400
Solve the equation
a=1
400
(x2 -5)(x2 + 2x + 1)
x4 +2x3 -4x2 -10x - 5
400
f(x) = x2 + 3 and g(x) = 6x - 1 find:
(f x g)(x)
6x3 -x2 + 18x - 3
400
State the domain and range in interval notation.
D: (-5,5]
R: [-2,2]
400
Given f(x), find f(-3)
f(x)=x^5-3x^3+12x^2-14x+1
f(-3)=-11
500
(4,2,0)
500
Simplify
(4-5i)/(2-i)
(13-6i)/5
500
Solve the literal equation
x=z/(m-1)
500
Factor the following completely.
10x^3-55x^2+60x
5x(2x-3)(x-4)
500
The height of a model rocket being launched is modeled by the function below. State what each coefficient and constant represent in context. h = feet, time = seconds
h(t)=-16t^2+90t+2
-16 = gravity
90 = initial velocity
2 = initial height
500
Which parent function is shown?
Reciprocal function
500
Write a 4th degree polynomial equation with integral coefficients that has 2i and 1+i as solutions.
x^4-2x^3+6x^2-8x+8=0
600
Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 5 buses with 420 students. High School B rented and filled 10 vans and 10 buses with 750 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
Van: 15
Bus: 60
600
Solve using the quadratic formula
10x^2-4x+10=0
(1+-2isqrt6)/5
600
The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the largest integer.
27
600
f(x) = x2 + 3 and g(x) = 6x - 1 find:
f(g(x))
36x2 -12x +4
600
A polynomial has a root at 3 with a mult. 2, a root at 0 with a mult. 1, and a root at -1 with mult. 3. Write a polynomial in factored form that could represent this function.
f(x) = x(x-3)2(x+1)3
600
Factor the following completely
2x^5-14x^3+12x
2x(x-1)(x+1)(x^2-6)
600
Solve.
x={-1,2,(3+-sqrt17)/2)