Show:
Quadratic Functions
Polynomial Functions and their Zeros
Synthetic Division
Imaginary Unit i
Partial and Rational Functions
100
Does the following quadratic function open downward. 12x -x^2 + 36
Yes
100
Determine the end behavior of - 467x^59 + 2x +11
What is it Rises to the left, Falls to the right
100
DAILY DOUBLE!!!!!!!!!! (This question doesn't pertain to the column) Find: āˆ›(512) (no calculator)
What is 8
100
Find: i^2 (do not use calculator)
What is -1
100
Identify all intercepts: (x^2 - x - 2) / (x^3 - 2x^2 - 5x + 6)
What is (2,0), (-1, 0), (0, -1/3)
200
What is the vertex of y=4x^2 + 8x + 1 (Calculator may be used)
What is (-1, -3)
200
Find the zeros of: x^3 + x
What is 0
200
Use synthetic division to solve: f(x)=4x^3 - 13x + 10 f(8)
What is 1954
200
Write in standard form: 4 - āˆš(-8)
What is 4 - 2iāˆš(2)
200
Identify vertical and horizontal asymptotes: (1 - 3x) / (1 - x)
What is x = 1 and y = 3
300
A rancher wishes to enclose a rectangular corral with 320 feet of fencing. The fencing in only required on three sides because of an existing stone wall. What are the dimensions of the corral of maximum area?
What is 80 x 160 ft.
300
List the zeros of the polynomial f(x) = (x + 2)^2(x - 1)(x - 3)
What is -2,-2,1, and 3
300
Use synthetic division to divide: (5x^3 + 18x^2 + 7x - 6) / (x + 3)
What is 5x^2 + 3x - 2
300
Find: i^33
What is i
300
Write the form of the partial fraction decomposition of the rational expression: (x + 4) / x^2(3x - 1)^2
What is (A / x) + (B / x^2) + (C / 3x - 1) + (D / (3x - 1)^2)
400
Write in the form y=a(x - h)^2 + k: y= x^2 - 8x + 2
y= (x - 4)^2 - 14
400
Factor completely: 5x^2 + 20x - 25
What is 5(x - 1)(x + 5)
400
Use synthetic division to divide: (9x^3 - 16x - 18x^2 + 32) / (x - 2)
What is 9x^2 - 16
400
Write the conjugate: (3+4i) / 16
What is 3/16 - 1/4i
400
Write the impartial fraction decomposition of the improper rational expression: (16x^4) / (2x - 1) ^3
What is 2x + 3 + (6 / 2x - 1) + (4 / (2x - 1)^2) + (1 / (2x - 1)^3)
500
The perimeter of a rectangle is 300 feet. What is the width of the rectangle of maximum area.
What is 75 feet
500
Factor completely: X squared minus twenty five (answer in word form)
What is X minus five times X plus five
500
Use synthetic division to solve: (-3x^4) / (x - 2)
What is -3x^3 - 6x^2 - 12x -24 - (48) / (x - 2)
500
Find: (-1 + i) / (2 - 3i)
What is -5/13 - 1/13i
500
FINAL JEOPARDY:D Find all the zeros of the function and write the polynomial as a product of linear factors. f(x) = x^4 - 4x^3 + 8x^2 - 16x + 16
What is 2, +_2i; (x - 2)^2, (x - 2i), (x + 2i)