Vocabulary
Adding/Subtracting & Factoring
Factor
Simplifying Poly's
GCF
100

24

Constant, Monomial

100

(3x+5) - (4x+1)

-x + 4

100

x2 + 12x + 20

(x+10)(x+2) 

100

5c3d(9c2d2 - 4c3d -2)

45c4d3 -20c5d2 -10c2d

100

What is the GCF of 

12a + 4b ?

4

200

Write the polynomial in standard form

a2 + 3a4 - 7a + 2a3 - 4

3a4 + 2a3 + a2 -7a - 4

200
(6x-7) + (4x+5)
10x-2
200

x2 - 9x + 14

(x - 7)(x - 2)

200

(2x +5y)(x -3y)

2x - xy - 15y2

200

What is the gcf of 

9x+ 15x+ 21x3

3x2

300

3x + 12

Linear, binomial

300

54x3y -18x2y2 + 27xy2

9xy(6x2 -2xy +3y)

300

4m2 - m - 14

(m - 2) (4m + 7)

300

(5y -1)2

25y-10y +1

300

Factor the GCF out:  7m4 -14m2 + 49m5

7m2 (2m2 - 2 + 7m3)

400

-7x2 + 4x +1

Quadratic, Trinomial

400

64y4 - 16y6

16y4(4 - y2)

16y4(2 + y)(2 - y)

400

8r2 + 16r - 10

2(2r + 5)(2r - 1)

400

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

2x+14x -8

400

Factor the GCF out:  

10xy3 - 15x2y4 + 30y

5y(2xy2 - 3x2y3 + 6)

500

3x4 - x3 +5x2 +x -7

Quartic, Polynomial

500

4x3 + 12x2 -25x - 75

(4x2 - 25)(x + 3)

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

500

n3 - 5n2 - 50n

n(n - 10)(n + 5)

500

27c4d7 + 15c3d/ 3c2d3

9c2d4 + 5cd2

500

Factor the GCF out: 

12b3c4d7 - 24bc3d4 + 48b5c8d9

12bc3d(b2cd3 - 2 + 4b4c5d5)

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