Vocabulary
Adding or Subtracting Polynomials
Factor
Multiplying Binomials
GCF
100

The greatest shared multiple between EACH term

What is GCF

100

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

-x + 4

100

a2 + 2a + 1

(a+1)(a+1) = (a+1)2

100

(x+2)(x+3)

x2+5x+6

100

What is the GCF of 

12a + 4b ?

4

200

I am trying to find two numbers that multiply to the whole number and add up to the middle term.  

What is a factoring by basic trinomial

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

x2 - 9x + 14

(x - 7)(x - 2)

200

(x-7)(x+2)

x2-5x-14

200

What is the gcf of 

(9x + 6x2)?

3x

300

The term for factored polynomials that look like: (x2 - 4)? 

What is a difference of squares

300

(x3-7) - (8x3-2x)

-7x3 + 2x - 7

300

x2 + 12x + 20

(x + 10) (x + 2)

300

(2x+4)(x-8)

2x2-12x-32

300

Factor the GCF out:  7m4 -14m2 + 49m5

7m2 (2m2 - 2 + 7m3)

400

What factoring method do we do when we have:

ax2 + bx + c

What is the slip and slide trinomial, if we cannot factor out a GCF

400
(5x-3) + (4x+7) + (2x-6)
11x-2
400

3p2 + 10p - 8

(3p - 2) (p + 4)

400

(x-4)2

x2-8x+16

400

Factor the GCF out:  10xy3 - 15x2y4 + 30y

5y(2xy2 - 3x2y3 + 6)

500

What factoring method do you do when you have four terms... you split those into two parts find the GCF and common binomial

What is the grouping method
500

(6x2-8x -16) - (6x2+8x+ 16)

-16x - 32

500

12x2 + 17x + 6

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

500

(x - 3)(x2 +4x + 6)

x3 + x2 -6x - 18

500

Factor the GCF out: 

12b3c4d7 - 24bc3d4 + 48b5c8d9

12bc3d(b2cd3 - 2 + 4b4c5d5)

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