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Factoring trinomials when a=1
Factoring trinomials when a>1
Complex Factoring
Factor completely
Squares and Cubes
100
Factor: 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: x
2
-12x+27
(x-9)(x-3)
200
Factor 9x
2
+6x+1
(3x+1)(3x+1)
200
8
3
-144x
8x(x-4)(x+4)
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
+10x-24
(x+12)(x-2)
300
Factor 2x
2
-x-6
(x-2)(2x+3)
300
Factor: 2x
2
-xy-6y
2
(2x+3y)(x-2y)
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
2
b
4ab(b-3a)
400
Factor completely: 2x
3
+14x
2
-60x
2x((x+10)(x-3)
400
27x
3
-8
(3x-2)(9x
2
+6x+4)
500
Factor into two binomials: x
2
+7x+18
Prime
500
Factor: 90x
2
-27x+108
(18x-7)(5x-4)
500
Factor: x
b+1
-x
b
x
b
(x-1)
500
Factor completely: 80-5d
2
5(4+d)(4-d)
500
1-x
3
(1-x)(1+x+x
2
)