Polynomial Vocabulary
Adding and Subtracting Polynomials
Multiplying Binomials (Box Method)
Solving Equations
Factoring DOTS
100

Classify 2x+1

Binomial

100

(3x - 1) + (5x + 5) 

8x + 4

100

(x+1)(x+4)

x2 + 5x + 4

100

3x=15

x=5

100

Factor:

x2 - 4

(x+2)(x-2)

200

Identify the constant: 

3x - 10 

-10 

200

(5x2 + 4x) + (5x2 - 3x) 

10x2 + 1x

200

(x+3)(x+5)

x2 + 8x + 15

200

2x+1=11

x=5

200

Factor: 

x2 - 36

(x+6)(x-6)

300

Identify the coefficient: 

3x +2

3

300

(3a - 4b) + (12a - 18b) 

15a - 22b

300

(2x +3)(x+5)

2x2 + 13x + 15

300

3(x+2)= 24

x = 6

300

Factor: 

100 - x2 

(10-x)(10+x)

400

The first term of a polynomial when written in standard form. 

Leading Term

400

(7x - 1) - (10x + 2) 

-3x - 3

400

(3x -1)(x + 5) 

3x2+ 14x -5

400

2(4x -1) -5 = 25

x=4

400

Factor: 

25x2 - 9

(5y+3)(5y-3) 

500
This form is when writing polynomials by highest degree first and in descending order. 

Standard Form

500

(9x2 + 2x - 8) - (3x2 - 6x - 9) 

6x2 + 8x + 1

500

(2x+1)(x-5) 

2x- 9x - 5

500

3x + 9=5x - 17 

x=13

500

Factor: 

49a2 - 64b2

(7a+8b)(7a-8b)

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