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Factoring trinomials when a=1
Factoring trinomials when a>1
Factor using the GCF
Factor by grouping
Factoring he difference of two perfect squares
100
Factor into two binomials:
x
2
+10x+25
(x+5)(x+5)
100
Factor 2
x
2
-7x+6
(2x-3)(x-2)
100
Factor 3
x
2
-12x
3x(x-4)
100
Factor completely: 5
x
2
+8x+30x+48
(5x+8)(x+6)
100
Factor:
x
2
-16
(x+4)(x-4)
200
Factor into two binomials:
x
2
-12x+27
(x-9)(x-3)
200
Factor 9
x
2
+6x+1
(3x+1)(3x+1)
200
Factor:
x
2
-x
x (x-1)
200
Factor completely: 35
x
2
-15x+56x-24
(7x-3)(5x+8)
200
Factor: 9-
x
2
(3+x)(3-x)
300
Factor into two binomials:
x
2
+2x-24
(x+6)(x-4)
300
Factor 2
x
2
-x-6
(x-2)(2x+3)
300
Factor:
x
4
+
x
2
x
2
(
x
2
+2)
300
Factor completely: 36
x
2
-6x+6x-1
(6x-1)(6x+1)
300
25
x
2
-4
y
2
(5x+2y)(5x-2y)
400
Factor into two binomials:
x
2
-5x+6
(x-3)(x-2)
400
Factor 4
x
2
+12x+9
(2x+3)(2x+3)
400
Factor: 3
x
5
+15x
3x(
x
4
+5)
400
Factor completely: 7
x
2
+4x-35x-20
(7x+4)(x-5)
400
(1/4)
x
2
-(49/25)
(1/2x-7/5)(1/2x+7/5)
500
Factor into two binomials:
x
2
-7x-18
(x-9)(x+2)
500
Factor: a
x
2
-bx-ax+b
(x-1)(ax-b)
500
x
2
-x
x(x-1)
500
Factor completely: 15
x
2
-9x-35x+21
(5x-3)(3x-7)
500
x
2
+100
Can not be factored because of the plus sign.