ALGEBRA 1 REVIEW-GAME 1

FOIL

100

(x+3)(x+2)

x²+5x+6

200

(x-2)(x+2)

x²-4

300

(2x+4)(x+1)

2x²+6x+4

400

(4x-15)(3x+2)

12x²-37x-30

500

(6x²+3x)(x+3)

6x³+21x²+9x

GCF

100

What is the GCF of 9x+3

3(3x+1)

GCF is 3

200

What is the GCF of 10x+45

5(2x+9)

GCF is 5

300

14x⁶+21x⁵+35x³

7x³(2x³+3x²+5) 

GCF is 7x³

400

14x³y²+56x²y²

2x²y²(7x+28)

GCF is 2x²y²

500

24a⁵b³+36a⁴b⁴+18a³b⁵

6a³b³(4a²+6ab+3b²)

GCF is 6a³b³

Factoring Trinomials (a=1)

100

The factors of x²+5x+6

(x+2)(x+3)

200

The factors of a²+8a+15

(a+3)(a+5)

300

The factors of y²-6y+9

(y-3)(y-3) or (y-3)²

400

The factors of x²+17x+52

(x+4)(x+13)

500

The factors of x²-19x+88

(x-8)(x-11)

AC Method

100

The factors of 2x²+7x+5

(2x+5)(x+1)

200

The factors of 3x²+10x+8

(3x+4)(x+2)

300

The factors of 5x²+27x+10

(5x+2)(x+5)

400

The factors of -4x²+15x-14

(x-2)(-4x+7)
OR
(-x+2)(4x-7)
OR
-1(x-2)(4x-7)

500

The factors of 12x²-13x-4

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

Difference of Two Squares (DoTS)

100

The factored form of x²-9

(x+3)(x-3)

200

The factored form of 4x²-16

(2x+4)(2x-4)

300

The factored form of 9x²-100

(3x+10)(3x-10)

400

The factored form of 121x⁴-144

(11x²-12)(11x²+12)

500

The factored form of 36x²-8

(6x+sqrt(8))(6x-sqrt(8))