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WorksheetsAll the factoring practice you could want :)
Total questions: 158
Worksheet time: 8hrs 44mins
k2 -2k - 24
12x + 6
(x - 3)(x - 3)?
10x³ - 15x
3x2 - 9x -120
25x2 - 81?
Factor 4b5+4b3+16b2
4b3(b4+b2+4b)
4b3(b4+4b+5)
4(b5+b3+4b2)
4b2(b3+b+4)
k2 -2k - 24
3x² + 5x - 12
3v2 - 4v - 7
p2 - 14p
(x - 3)(x - 3)?
x2 + 7x - 30
25x2 - 100y2
Solve by factoring: x2 + 12x + 35 = 0
x = 5 and x = 7
x = -5 and x = -7
x = -5 and x = 7
x = 5 and x = -7
Solve by factoring: x2 - 7x + 10 = 0
x = 5 and x = 2
x = -5 and x = -2
x = -5 and x = 2
x = 5 and x = -2
Solve for x: (x - 5)(4x + 7) = 0
x = 5 and x = -4/7
x = -5 and x = 4/7
x = 5 and x = -7/4
x = -5 and x = 7/4
Factor x2 - 49
(x - 7)(x + 7)
(x - 7)(x - 7)
(x + 7)(x + 7)
Does not factor
Solve for x.
x2 = 36
x = ± 6
x = ± 18
x = 6
x = 18
Solve for x.
3x2 = 48
x = ± 4
x = ± 12
x = ± 16
x = √16
Solve for x.
(x - 7)2 + 4 = 40
x = -1, -13
x = 1, 7
x = -1, -7
x = 1, 13
x = -7, -13
Solve for x.
(x - 4)2 + 8 = 33
x = -9, 1
x = -1, 9
x = 1, 9
x = 3, 11
x = -11, -3
Factor using GCF or monomial factoring:
2n2-8n3
2n2(n-4n2)
2n2(1-4n)
2n3(10-8n2)
3n(1-4n)
What is the first step when factoring polynomials?
Find the GCF
List all the terms
Make the X and fill in the top and bottom
Multiply a and c
What is the common monomial factor of 6x3+3x2−12x ?
3
2x
3x
3x2
The factored form of m2 + 6m + 5 is
(m+2)(m+ 3)
true
false
x2 + 9x - 36
x2 + 7x - 30
a2 - a - 12
r2 -16r + 60 ?
Factor completely:
r2+r−6
(r+2)(r+3)
(r+4)(r−7)
(r−2)(r−3)
(r−2)(r+3)
Factor by GCF:
18a2-15a
15a(3a-1)
3a(6a-1)
3(6a-5)
3a(6a-5)
x2 - 9
What is the GCF?
28p3+16p2+16p
2p
4p
4p2
8p2
Factor completely:
6a2+48a−54
(a−1)(a+9)
6(a−1)(a+9)
(6a−6)(a+9)
(a−1)(6a−54)
Factor completely
2p2−34p+144
4p(p-4)
(p-8)(p+10)
2(p-8)(p-9)
2(p-8)(p+9)
Factor completely:
r2+r−6
(r+2)(r+3)
(r+4)(r−7)
(r−2)(r−3)
(r−2)(r+3)
Factor completely:
2p2−9p−18
(7p+4)(p+10)
(2p+3)(p+6)
(2p+3)(p−6)
(7p+8)(p+6)
Factor out the GCF:
56x2−40x+80
8(7x2−5x+10)
4(14x2−10x+20)
8(7x2−40x+80)
8(7x2+x−10)
Factor completely:
2x2−6x−108
(x−9)(x+6)
2(x+9)(x−6)
2(x−9)(x+6)
(x+9)(x−6)
Factor completely:
x2−7x+12
(x−4)(x−3)
(x−2)(x−6)
(x−1)(x−12)
(x−5)(x−2)
Factor completely:
x2−8x+15
(x−1)(x−15)
(x+1)(x−15)
(x−3)(x−5)
(x+3)(x−5)
Factor completely:
7x2−4x−3
7(x+3)(x+1)
(x+3)(7x−1)
(7x+3)(x+1)
(7x+3)(x−1)
Factor out the GCF:
18x6+16x3+14x
2x(16x5+14x2+12)
2x(18x5+16x2+14)
2x2(9x4+8x2+7x)
2x(9x5+8x2+7)
Factor completely:
5x2−12x+7
Not factorable
(5x−7)(x−1)
(7n−3)(n−6)
(5n−8)(7n+8)
Factor completely:
5x2+24x−36
not factorable
(5x+6)(x−6)
(5x−6)(x+6)
5(n−6)2
Factor completely:
9x2−1
(3x−1)2
Not factorable
(3x−1)(3x+1)
(9v−1)(9v+1)
Factor completely:
x2+2x+1
(x+4)2
(x+1)2
(x−1)(x+1)
(x−4)2
Find the GCF:
8x2+16x−12
2
4
6
8
Factor completely:
12r3−40r2
(2x−7)(x−9)
4x(3x+10)
4x2(3x+10)
x2(12x−40)
Factor completely:
18x2−150x+168
18(n−4)(n+7)
6(3n−4)(n−7)
(7n−10)(n−1)
5(5n−1)(n+9)
Factor completely:
x2−9
Not factorable
(x−3)2
(x+3)(x−3)
x−3
Factor completely:
9x2+12x+4
(9r−2)(9r+2)
(3r−2)(3r+2)
(3r+2)2
(9r+2)2
25x2 - 81?
8x3 - 18x
3x² + 5x - 12
6x2-x-2=0
x= -2/3, 1/2
x= 2/3, -1/2
x= -2/3, -1/2
3x2-48=0
x= 4, 4
x= -4, -4
x= -4, 4
(x + 2)(x - 3) = 0 ?
x2 - 9x = 0
Factor:
80x5-70x2-60x7
2x2(80x3-70-60x6)
10x2(80x4-70x-60x6)
10x2(8x3-7-6x5)
3x2(80x3-40-60x5)
x2 + 16x + 64
x2 + 10x + 100
Which of these can factor using difference of two squares?
144x2 - 49y2
x2 + 4x - 12
100x2 + 20x + 1
14x - 16
4x2 - 16
4(2x + 4) (x - 2)
4(4x + 2) (x - 2)
(2x + 4) (2x - 4)
4(x + 2) (x - 2)
x2 + 9x - 36
n2 + 16n + 63
x2 + 7x - 30
a2 - a - 12
3a2 + 4a + 1
2m² + 3m - 9
3v2 - 4v - 7
3x² + 17x + 10
3x2 + 18x +15
Hint: Factor GCF first.
Factor Completely: 3n² - 15n + 18
Hint: Factor GCF first.
What are the factors for 12?
1, 12
1, 2, 3, 4, 6, 8, 12
1, 2, 3, 4, 6, 12
2, 3, 4, 6
What are the factors for 25?
1, 2, 3, 5, 12, 25
1, 5, 25
5,25
1, 3, 5, 25
Is 23 a prime number?
composite
prime
Which number is not a multiple of 10?
20
35
40
50
Which number is not a multiple of 6?
12
24
37
42
Which number is not a multiple of 9?
18
72
13
36
What is the GCF of 3 and 6?
1
2
3
6
List the first (4) multiples of 8
1, 2, 4, 8
8, 16, 24, 32
Find the Least Common Multiple (LCM) of 8 and 12
812
20
96
24
(1 and itself)
d2 - 10d + 25
3x² + 5x - 12
25x2 - 81?
What is the first step when factoring polynomials?
Find the GCF
List all the terms
Make the X and fill in the top and bottom
Multiply a and c
What is the GCF of 18xy and 12x
3
3x
6x
2x
We can't factor using difference of two square this
49x2 + 4y2. Why?
Because 4 is not a perfect cubed number.
Because 4 is not a perfect squared number.
Because 49 is not a perfect squared number.
Because we can't factor using difference of two squares if it is addition sign.
k2+7k+10
3x2 + 18x +15
2k2-14k-60
x2 + 7x - 30
x2 + 9x - 36
n2 + 5n - 6
25x2 - 81?
Factor 4b5+4b3+16b2
4b3(b4+b2+4b)
4b3(b4+4b+5)
4(b5+b3+4b2)
4b2(b3+b+4)
k2 -2k - 24
3x² + 5x - 12
3x3-x2+6x-2
x2 + 7x - 30
x2 + 9x - 36
a2 - a - 12
2x² - 3x - 2
x2 + 11x + 24
3x2 + 10x - 8
5x2 - 7x + 2
x2 - 9
8x3 - 18x
