GCF
Definitions
Diamond & Box Method
Any way that works
Blast from the Past
100
GCF of 30x4+ 25x2

What is 5x2?

100
The number in front of the variable
What is a coefficient?
100
Factor: x2+5x + 6
(x + 3) (x + 2)
100

Multiply:  (x-2)(x+2)

x2 - 4

100
Add: 3x2 + 4x - 6 and 6x2 - 6x + 3
9x2 - 2x -3
200
The GCF of 4x5 and 8x3
What is 4x3
200
These are used to represent the area method to multiply polynomials
What are algebra tiles?
200
Factor: x2 + 13x -30
What is (x + 15) (x - 2)?
200
x2 +6x + 9
(x+ 3)2
200
Multiply: (2x - 1) (2x + 1)
(4x2 - 1)
300
Factor out the GCF from this expression 12x2 + 16x3
4x2(3 + 4x)
300
A polynomial two terms.
What is a binomial?
300
Factor: p2 -7p -8
(p - 8)(p + 1)?
300

Multiply: (2x - 3) (2x + 3)

4x2 - 9

300
Multiply: (x+ 5)2
x2 +10x + 25
400
Factor out the GCF from the expression 50y7+ 40y4
10y4(5y3 + 4)
400

An expression involving the sum of powers in one or more variables multiplied by coefficients.

What is a polynomial?
400
Factor: m2 + 15m + 56
What is (m + 7)( m + 8)?
400

Multiply: (3k+4)(3k-4)

9k2 - 16

400
Multiply (4x + 3)2
16x2 +24x + 9
500
Factor out the GCF of this expression 8x3 - 4x2
What is 4x2(2x - 1)
500
In this method factors of ac when added give you b.
What is the diamond method?
500
Factor: x2 -3x - 18
What is (x - 6)(x + 3)?
500

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

2x2 -4x -30

500
Divide : 25x4 - 15x2 - 30x divided by 5x
5x3 - 3x -6