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Factoring Trinomials
Factor Completely
Zero Product Property
Factor by GCF
Factors/Primes
100
Factor x
2
+8x+12
(x+6)(x+2)
100
9x
2
-1
(3x-1)(3x+1)
100
Solve for x: 3x - 8 = 0
x = 8/3
100
Factor by GCF 14n
2
+10n
2n(7n+5)
100
What are the prime factors of 70
7*5*2
200
Factor m
2
-11m+18
(m-9)(m-2)
200
x
2
+16x+64
(x+8)
2
200
State the solution set: (v - 3)(v + 3) = 0
v = {3, -3}
200
Factor by GCF 18x
3
-6x
6x(3x
2
-1)
200
What are the prime factors of 9xy
3*3*x*y
300
Factor n
2
-11n-26
(n - 13)(n + 2)
300
x
10
-z
8
(x
5
-z
4
)(x
5
+ z
4
)
300
Solve for m: (m + 2)(m - 1)(m + 1) = 0
m = -2, 1 or -1
300
Factor by GCF 8-4a
2
4(2-a
2
)
300
List ALL factor pairs of 8
1,8 -1,-8 2,4 -2,-4
400
Factor x
2
-100x+2500
(x - 50)
2
400
Factor 2m
3
+18m
2
+36m
2m(m+3)(m+6)
400
Solve for y: y(7y + 5) = 0
y = 0 or y = -5/7
400
Factor by GCF 4x
4
+16x
3
-8x
2
4x
2
(x
2
+4x-2)
400
Find the GCF of 24 and 60
12
500
Factor 2x
2
-12x+10
2(x-1)(x-5)
500
Factor -3c
3
+15c
2
-18c
-3c(c - 2)(c - 3)
500
State the zeroes of the function:
f(x) = x(x - 5)
2
(x + 0.5)
x = 0, 5, or -0.5
500
Factor by GCF 10a
3
b
4
-6a
2
b
6
2a
2
b
4
(5a-3b
2
)
500
Find the GCF of 6xy and 24y
6y