Random
Solving Cubic
(GCF)
(GCF)
Key Features
Solving by Grouping
Operations with polynomials
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, 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
What is sqrt (11) sqrt (-11), -7
100
(5 + 5k^4 + 2k^2 + 2k) + (7 + 8k^2 + 5k)
5k^4 + 10k^2 + 7k + 12
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
What is 1
200
(n^4 - 4n^3 + 8) -(7n^4 - 5n^3 + 3)
-6n^4 + n^3 + 5
300
Factor
125u^3+ 216
(5u - 6) (25u^2 + 30u + 36)
(5u + 6) (25u^2 - 30u + 36)
(5u+6)^3
(5u - 6) (25u^2 - 30u + 36)
(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=0
What is -5/3
300
(r+2)(3r-5)
3r^+r-10
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
What is 0, 9, 7
400
Label the increasing and decreasing intervals for the following cubic function.
Increasing: (-∞ , -0.694) (3.361, ∞ )
Decreasing: (-0.694, 3.361)
400
x^3-5x^2-4x+20=0
What is -2, 2, 5
400
(a^3 + 3a^2 - 61a - 54) -: (a - 7)
a^2 + 10a + 9 + 9 / (a - 7)
500
State if the given binomial is a factor of the given polynomial.
(n^3 + 12n^2 + 40n + 32) -: (n + 4)
Yes
500
21x^2-18x-3x^3
What is 0, 6, 1
500
Find the average rate of change over (-0.694, 3.361)
m= -1.64
500
36x^3 - 45x^2 - 64x + 80=0
What is -4/3, 4/3, 5/4
500
(5v^3 - 39v^2 + 49v + 2) -: (5v - 9)
v^2 - 6v - 1 - 7 / (5v - 9)
500
Give a rough sketch of the polynomial:
f(x)=-(x-4)(x-4)(x+2)
