Factoring trinomials when a=1
Factoring trinomials when a>1
Factor using the GCF
Factor completely
Factoring the difference of two perfect squares
100
Factor into two binomials: x^2+10x+25
(x+5)(x+5)
100
Factor 2x^2-7x+6
(2x-3)(x-2)
100
Factor 3x^2-12x
3x(x-4)
100
Factor completely: a^2b^2-144a^2
a^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
Factor 9x^2+6x+1
(3x+1)(3x+1)
200

Factor: x^3-x^2

x^2 (x-1)

200

Factor completely: 3x^2-30x+75

3(x-5)(x-5)

200

Factor: -x^2+9

-(x-3)(x+3) or (x+3)(x-3)

300
Factor into two binomials: x^2+2x-24
(x+6)(x-4)
300
Factor 2x^2-x-6
(x-2)(2x+3)
300

Factor: y^3+2y

y (y^2+2)

300

Factor completely: 4y^3+24y^2+36x

4y(y+3)(y+3)

300

25y^2-4

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

400
Factor into two binomials: x^2-5x+6
(x-3)(x-2)
400
Factor 4y^2+12y+9
(2y+3)(2y+3)
400
Factor: 4ab^2-12a^2b
4ab(b-3a)
400

Factor completely: 2x3+14x2-60x

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

400

x^2+100

Can not be factored.

500

Factor into two binomials: y^2-7y-18

(y^2-9)(y^2-2)

500

Factor: ax^2-2ax+a

(x-1)(ax-b)

500

8x^3-4x^4

2x^3(4-2x)

500
Factor completely: 80-5d^2
5(4+d)(4-d)
500

(1/4)x^2-(49/25)

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

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