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Factoring trinomials when a=1
Factoring trinomials when a≠1
Factor using the GCF
Factor completely
Difference of 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^2)(b^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^(b+1)-x^b
x^b (x-1)
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
Factor 2x^2 - x - 6
(x-2)(2x+3)
300
Factor: y^(a+2)+2y^a
y^a (y^2+2)
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
Factor 4y^2 + 12y + 9
(2y+3)(2y+3)
400
Factor: 4ab^2-12a^2b
4ab(b-3a)
400
Factor completely: 2x^3 + 14x^2 - 60x
2x((x+10)(x-3))
400
(1/4)x^2-(49/25)
(1/2x-7/5)(1/2x+7/5)
500
Factor into two binomials: y^4 - 7y^2 - 18
(y^2-9)(y^2-2)
500
Factor: -18x^2 - 15x + 18
-3(2h+3)(3h-2)
500
x^(2+k)-4x^4
x^2(x^k-4x^2)
500
Factor completely: x^3 + 3x^2 - 4x - 12
(x-2)(x+2)(x+3)
500
x^2+100
Can not be factored because of the plus sign.