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

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

What is a Like Term?

A term with the same variable and same exponents.

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 is the OTHER method called when you multiply binomials, not box?


What is FOIL?

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 is the relationship between factoring and multiplying polynomials?

Factoring is the opposite of multiplying

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)