Factor by Grouping
Solve Polynomials
Sum and Difference of Cubes
Find the Polynomial
100

Factor 15x+ 5x + 6x + 2

Fcator: (5x + 2)(3x + 1).

100

Factor x+ 8x + 12 

What is (x + 2)(x + 6)

100

Factor: x3 + 27

(x + 3)(x2 - 3x + 9)

100

Write the polynomial given the roots: 1, 3i, -3i

Write in standard form

x- x+ 9x - 9

200

Factor 25z3 - 125z2 + 4z - 20


Factor: (25z2 + 4) (z - 5)

200

Factor  x- 6x + 8

Factor:(x - 4)(x - 2)


200

Factor: x3 - 64

(x - 4)(x2 + 4x + 16)

200

write the polynomial given the roots: -5, 8, 1/2

Write in standard form

2x3 - 7x2 - 77x + 40

300

Factor 3x3+4x2+15x+20

Factor: (x2+5)(3x+4)

300

Factor and solve: 3x- 19x - 14 

Factor: (3x + 2)(x - 7)

Solve: x= -2/3, 7

300

Factor: 8x3 + 1

(2x + 1)(4x2 - 2x + 1)

300

Write the Polynomial given the roots: -2, 4i

Write in standard form

x3 + 2x2 + 16x + 32

400

Factor 9x2y - 45xy - 11x + 55


What is (9xy - 11)(x - 5).

400

Factorand Solve: 9x+ 9x - 10 

Factor: (3x -2)(3x + 5)

Solve: x= 2/3, -5/3

400

Factor and Solve: 27x3 - 1

Factor: (3x - 1)(9x2 + 3x + 1)

Solve: 

400

RANDOM

Identify the type, degree, and leading coefficient of: 9x - 3x3 +7x2 -5 - 6x4

500

Factor  8x4 + 24x3 - 27x - 81

Factor: (8x3 - 27)(x + 3)

500

Factor and Solve 10x- 27x + 18 

Factor: (5x - 6)(2x - 3)

Solve: x= 6/5, 3/2

500

Factor Completely and Solve: 4x- 36x2

Factor Completely: 4x2(x + 3)(x - 3) 

Factor (half credit): 4x2(x2 - 9)

Solve: x=0, -3, 3

500

RANDOM

Using the polynomial: (x4 - 5x3 + 8x - 2) Identify:

x-intercept

inc/dec

max

Min

End Behavior

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