Random
Solving Cubic
Equations
Equations
Key Features
Factor by Grouping
Operations with polynomials
Trivia & Final Jeopardy
100
Evaluate the following function at x=3.
f(x) = x^3 + 3x^2 - 24x + 13
-5
100
40x+2x^2-2x^3=0
0, 5, -4
100
Find the x-intercepts and y-intercept.
x-intercepts: (-2,0) (1,0) and (5,0)
y-intercept: (0,2)
100
x^3+7x^2-11x-77
(x+7)(x2-11)
100
(5 + 5k^4 + 2k^2 + 2k) + (7 + 8k^2 + 5k)
5k^4 + 10k^2 + 7k + 12
100
Which company's slogan is "You're in good hands?"
Allstate
200
Describe the transformation of the following cubic function.
g(x)= - (x-2)^3+5
reflection across the x-axis
right 2
up 5
200
x^3-10x^2+9x=0
What is 0, 1, 9
200
Find the relative max, relative min, and the turning points.
Relative Max: (-0.694, 2.519)
Relative Min: (3.361, -4.149)
Turning points: (-0.694, 2.519) and (3.361, -4.149)
200
x^3 - x^2 + 16x -16
(x2+16)(x-1)
200
(n^4 - 4n^3 + 8) -(7n^4 - 5n^3 + 3)
-6n^4 + n^3 + 5
200
In what year was the Internet opened to the public? (give or take 2 years)
1993.
300
Factor
125u^3+ 216
(5u + 6) (25u^2 - 30u + 36)
300
4x^2-x^3=3x
What is 0, 1, 3
300
Label the domain and range for the following cubic function.
Domain: all real numbers
Range: all real numbers
300
3x^3+5x^2+3x+5
(x2+1)(3x+5)
300
(r+2)(3r-5)
3r^+r-10
300
Where were the Declaration of Independence, the Constitution and the Bill of Rights stored during World War II?
Fort Knox
400
Find the zeros given that (x-3) is a factor.
f(x) = 3x^3 - 5x^2 - 11x - 3
3, -1, -1/3
400
x^3-16x^2+63x=0
What is 0, 9, 7
400
Label when the function is increasing and decreasing for the following cubic function.
Increasing: x<-0.694 and x>3.361
Decreasing: -0.694<x<3.361
400
x^3-5x^2-4x+20
(x+2)(x-2)(x-5)
400
(a^3 + 3a^2 - 61a - 54) -: (a - 7)
a^2 + 10a + 9 + 9 / (a - 7)
400
Who is the all-time home run leader?
Barry Bonds (762)
500
State if the given binomial is a factor of the given polynomial.
(n^3 + 12n^2 -128) -: (n + 4)
Yes
500
21x^2-18x-3x^3=0
What is 0, 6, 1
500
Find the average rate of change when -0.694<x<3.361
m= -1.64
500
36x^3 - 45x^2 - 64x + 80
(3x-4)(3x+4)(4x-5)
500
Use synthetic division to evaluate (v^3 +v^2 -4v + 3) when x=-1
f(-1)=7
500
Give a rough sketch of the polynomial:
f(x)=-(x-4)(x-4)(x+2)
