Binomial Expansion
Factoring by grouping and Special Cases
Polynomial operations
Zeroes
Roots/End behavior
Graphing
100
(x-2)3
x3-6x2+12x-8
100
x3 - x2 +25x - 25
(x+5i)(x-5i)(x-1)
100
Find (f+g)(x)
f(x) = -x2+5x -12
g(x) = 8x2 -4x +8
(f+g)(x) = 7x2+x-4
100
Find the zeroes of f(x) = (x-5)(x+2)(x-5000)
5,-2,5000
100
How many roots in the polynomial f(x) = x7-3x5+4x
7 roots
100
For what interval of the domain is the coaster rising?
(2.5, 7.5)
200
(2x-1)4
16x4-32x3+24x2-8x+1
200
2x3 - x2 - 18x + 9
(x+3)(x-3)(2x-1)
200
(f+g)(5)
f(x) = 7x - 6
g(x) = -x2-5x+3
-18
200
Find the zeroes of the f(x) = x3+4x2+3x
X = 0, -3, -1
200
How many roots in the polynomial f(x) = x-x3+8x2
3 roots
200
Given the equation Y = 0.003x3 - 0.16x2 + 2.8x + 5
What is Y, when x is 20?
21
300
(2x-3)3
8x3-36x2+54x-27
300
x3 + 125y3
(x + 5y)(x2 - 5yx + 25y2)
300
Find (f-g)(2)
f(x) = x3-12x+5
g(x) = x2-8x+4
-3
300
Find the zeroes of 3x3+6x2+3x
x = 0, -1
300
How many roots in the polynomial f(x) = 5
0 roots
300
Given the graph below, f(x). What is g(x) = f(x - 2)
g(x) = (x - 5)^2 - 1
400
(2x-4)4
16x4-128x3+384x2-512x+256
400
(125a3-8b3)
(5a-2b)(25a2+10ab+4b2)
400
Find the zeroes of x3-9x2+8x
x = 0, 8, 1
400
How many roots in the polynomial and describe the end behavior in the polynomial f(x) = -12x5+8x2-4
Odd and negative with 5 roots
400
What is the equation of the graph below
(x + 4)^2 - 4
500
(2x+5)4
16x4+160x3+600x2+1000x+625
500
(216x3+64y3)
(6x+4y)(36x2-24xy+16y2)
500
How many roots and describe the end behavior in the polynomial f(x) = 3x - 5x4+9x6
even and positive with 6 roots