Factoring trinomials -Coefficient a=1
Factoring Trinomials- Coefficient a>1
Factor by Grouping
Factor by GCF
Miscellaneous Factoring
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
Find the GCF: 3x
2
, 12x
3x
100
Factor by GCF: 14n
2
+10n
2n(7n+5)
100
Solve for x: 3x-7=11
x=6
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
Find the GCF: 4x
3
, 10x
2
2x
2
200
Factor by GCF: 18x
3
-6x
6x(3x
2
-1)
200
2x+8=5x-7
x=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
Find the GCF: 2x
5
, 9x
4
x
4
300
Factor by GCF: 8-4a
2
4(2-a
2
)
300
Solve the system of equations by using substitution. 3y+2x=32, x=7
y=6
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
Find the GCF: 18x
3
, 32x
2
+6x
2x
400
Factor by GCF: 4x
4
+16x
3
-8x
2
4x
2
(x
2
+4x-2)
400
What is the slope and y-intercept of the following line? y=5x-2
Slope=5 Y-Intercept=-2
500
Factor into two binomials: x
2
-x-56
(x-8)(x+7)
500
Factor into two binomials: 2x
2
-12x+10
(2x-2)(x-5)
500
Find the GCF: 12m
4
n
3
, 6m
3
n
2
, 24m
2
n
4
6m
2
n
2
500
Factor by GCF: 10a
3
b
4
-6a
2
b
6
2a
2
b
4
(5a
3
-3b
2
)
500
Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16
x=5, y=-1
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FACTORING POLYNOMIALS
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