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Factoring Trinomials
More Factoring Trinomials
Factor by Grouping
FACTOR BY GCF
Squares
100
Factor into two binomials: x
2
+8x+12
(x+6)(x+2)
100
Factor into two binomials: 2x
2
+7x+3
(2x+1)(x+3)
100
Factor the following: 5x(x+1)+3(x+1)
(5x+3)(x+1)
100
Factor by GCF- 14n
2
+10n
2n(7n+5)
100
Factor: 4x
2
+81
Cannot Factor
200
Factor into two binomials: m
2
-11m+18
(m-9)(m-2)
200
Factor into two binomials: 5n
2
+26n+5
(5n+1)(n+5)
200
Factor the following: 3x(x
2
+2)+4(x
2
+2)
(3x+4)(x
2
+2)
200
Factor by GCF- 18x
3
-6x
6x(3x
2
-1)
200
Factor: 16x
4
-25
(4x
2
-5)(4x
2
+5)
300
Factor into two binomials: x
2
+5x-24
(x+8)(x-3)
300
Factor into two binomials: 3x
2
-10x+7
(3x-7)(x-1)
300
Factor the following: 5x(x-2)-(x-2)
(5x-1)(x-2)
300
Factor by GCF: 8-4a
2
+12a
4(2-a
2
+3a)
300
Factor: x
2
+18x+81
(x+9)(x+9) or (x+9)
2
400
Factor into two binomials: y
2
-6y-7
(y-7)(y+1)
400
Factor into two binomials: 7x
2
-36x+5
(7x-1)(x-5)
400
Factor the following: 2x(x+1)+3(1-x)
(2x-3)(x+1)
400
Factor by GCF- -4x
4
-16x
3
+8x
2
-4x
2
(-x
2
-4x+2)
400
Factor: 4x
2
+20x+25
(2x+5)(2x+5) or (2x+5)
2
500
Factor into two binomials: x
2
-13x-30
(x+2)(x-15)
500
Factor: 2x
2
-12x+10
2(x-1)(x-5)
500
Factor the following: 2x(x-3)+(3-x)
(2x-1)(x-3)
500
Factor by GCF- 10a
3
b
4
-6a
2
b
6
2a
2
b
4
(5a
3
-3b
2
)
500
Factor: 10g
10
-49h
40
(10g
5
-7h
20
)(10g
5
+7h
20
)