Factoring trinomials when a=1 (1AM)
Factor using the GCF
Factor completely
Factoring the difference of two perfect squares
DOTS
100

Factor into two binomials: x2+10x+25

(x+5)(x+5)

100

Factor 3x2-12x

3x(x-4)

100

Factor completely: a2b2-144a2

a2(b2 - 144)

a2 ( b + 12) (b - 12)

100

Factor: x2-16

(x+4)(x-4)

200

Factor into two binomials: x2-12x+27

(x-9)(x-3)

200

Factor: 8x- 6x

2x(4x - 3)

200

Factor completely: x4-625

(x2+25) (x2 - 25)

(x2+25) (x+5)(x-5)

200

Factor: 9-x2

(3+x)(3-x)

300

Factor into two binomials: x2+2x-24

(x+6)(x-4)

300

Factor: 3xy- 3x2y

3xy (y - x)

300

Factor completely: y4-81

(y2+9) (y2 - 9)

(y2+9)(y+3)(y-3)

300

25y2-4k2

(5y+2k)(5y-2k)

400

Factor into two binomials: x2-5x+6

(x-3)(x-2)

400

Factor: 4ab2-12a2b

4ab(b-3a)

400

Factor completely: 2x3+14x2-60x

2x (x2 +7x -30)

2x (x+10)(x-3)

400

(1/4)x2 - (49/25)

(1/2x + 7/5)(1/2x - 7/5)

500

Factor into two binomials: y4-7y2-18

(y2-9)(y2-2)

500

2x + 6y - 8w

2 (x + 3y - 4w)

500

Factor completely: 80-5d2

5 (16 - d2)

5(4+d)(4-d)

500

x2+100

Can not be factored because of the plus sign. It's not DOTS.