Arithmetic VS Quadratic Sequences
Adding/ Subtracting Polynomials
Multiplying Polynomials
GCF
Factor by Grouping
100

Is the following sequence Arithmetic or Quadratic?

2,4,6,8

Arithmetic

100

(x² + 3x) + (2x² + 4x)

3x² + 7x

100

(x + 2)(x + 3)

x² + 5x + 6

100

What is the GCF of 6x+12

6(x + 2)

100

x² + 5x + 6

(x + 2)(x + 3)

200

When a sequence has a common second difference, what type of sequence is it?

Quadratic

200

(5x² − 2x) + (3x² + x − 4)

8x² − x − 4

200

(x − 1)(x + 4)

x² + 3x − 4

200

Factor out the GCF 

10x + 15x

5x(2 + 3)

200

2x² + 7x + 3

(2x + 1)(x + 3)

300

Complete the following sequence 

3, ___, 11,15,19


3, 7, 11, 15, 19

300

(4a² + 3a − 8) − (a² − 2a)

3a² + 5a − 8

300

(2x + 1)(x − 5)

2x² − 9x − 5

300

Factor out the GCF

12a² − 18a

6a(2a − 3)

300

3x² + 11x + 6

(3x + 2)(x + 3)

400

Identify the CROC or CSD of the following sequence

2, 6, 12, 20...

CSD: 2

400

(6x² − x + 3) − (2x² + 4x − 5)

4x² − 5x + 8

400

(3x − 2)(2x+x + 5)

 

6x3-x2 + 13x − 10 

400

Factor out the GCF

20x³ + 25x²

5x²(4x + 5)

400

2x² − 7x − 15

(2x + 3)(x − 5)

500
Identify the type of sequence, finish the sequence, and determine the CROC or CSD of the following sequence


-1,2, __, 10, 17

Quadratic, -1, 2, 5, 10, 17, CSD: 2

500

(2x² − 3x + 1) + (−5x² + 7x − 4)

−3x² + 4x − 3

500

(2x2+x − 3)(3x + 4)

6x3+11x2-5x-12

500

Factor out the GCF

18x2+24x-6

6(3x2+4x-1)

500

6x² + 11x + 4

(3x + 4)(2x + 1)