Factoring trinomials when a=1
Transformations
Factor using the GCF
Factor completely
Factoring he difference of two perfect squares
100
Factor into two binomials: x^2+10x+25
(x+5)(x+5)
100

(x-2)2

Right 2

100
Factor 3x^2-12x
3x(x-4)
100

Factor completely: 2b2-288

2(b-12)(b+12)

100
Factor: x^2-16
(x+4)(x-4)
200
Factor into two binomials: x^2-12x+27
(x-9)(x-3)
200

|x+3|-7

Left 3 Down 7

200

Factor: 2x4-16x

2x(x3-8)

200
Factor completely: x^4-625
(x+5)(x-5)(x^2+25)
200
Factor: 9-x^2
(3+x)(3-x)
300
Factor into two binomials: x^2+2x-24
(x+6)(x-4)
300

2x2-5

Vertical Stretch

Down 5

300

Factor:y2-y

y (y+1)

300
Factor completely: y^4-81
(y^2+9)(y+3)(y-3)
300

25y^2-4k^2

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

400
Factor into two binomials: x^2-5x+6
(x-3)(x-2)
400

-(x-3)2

Reflection x-axis right 3

400

Factor: 4b2-12b

4b(b-3)

400

Factor completely: 2x3+14x2-60x

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

400

skip

skip

500

Factor into two binomials: y2-7y-18

(y-9)(y-2)

500
-2(x+3)2+7

Rxaxis

vertical stretch

left 3 

up 7

500

x2-4x4

x2(1-4x2)

500

Factor completely: 80-5d2

5(4+d)(4-d)

500
x^2+100
Can not be factored because of the plus sign.