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WorksheetsFactoring Polynomials
Total questions: 56
Worksheet time: 4hrs 6mins
Name
Class
Date
1.
Factor completely:
16x2 - 20xy
16x2 - 20xy
a)
4 (4x2 - 5xy)
b)
4x (4x - 5y)
c)
4x2 (4 - 5y)
d)
2(duck)
2.
Factor completely:
y2 - 7y + 12
y2 - 7y + 12
a)
(y - 3) (y - 4)
b)
(y + 3) (y - 4)
c)
(y + 3) (y + 4)
d)
(y - 2) (y - 6)
3.
Factor completely:
4x2 - 121
4x2 - 121
a)
(2x + 11) (11 - 2x)
b)
(2x - 11) (2x - 11)
c)
(2x + 11) (2x + 11)
d)
(2x + 11) (2x - 11)
4.
Factor completely:
x2 - 5x + 3
x2 - 5x + 3
a)
(x + 3) (x + 1)
b)
(x - 3) (x - 1)
c)
prime
d)
(x - 3) (x + 1)
5.
Factor completely:
169 - 9x2
169 - 9x2
a)
-1(3x + 13) (3x - 13)
b)
(3x + 13) (3x - 13)
c)
(3x + 13) (-3x - 13)
d)
-1(3x - 13) (3x - 13)
6.
8r3 + 16r2
a)
4r2(2r + 4)
b)
8r2(r + 2)
c)
8(r3 + r2)
d)
4(r3 + 2r2)
7.
w3 + 3w
a)
3w(1)
b)
w(w2 + 3)
c)
w3(w + 3)
8.
4x + 6
a)
4(x + 2)
b)
2(2x + 3)
c)
2(2x + 4)
d)
4(x + 2/3)
9.
What is the GCF? 12x+8
a)
12
b)
8
c)
4
d)
x
10.
What is the GCF? -5x-25
a)
x
b)
25
c)
-5
d)
-x
11.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
12.
−28a6 +20a4 −40a3
Find the GCF
(greatest common factor)
Find the GCF
(greatest common factor)
a)
4a2
b)
4a3
13.
2x3y8 + 6x4y2 + 10x5y10 what is the GCF?
a)
2x3y2
b)
x3y2
c)
2
d)
-x3y2
14.
Factor
5ab2c11 + 2bc5
5ab2c11 + 2bc5
a)
bc5(5ab2c6 + 2b)
b)
bc5(5abc6 + 2)
c)
b2c5(5bc6 + 2)
d)
c4(5a2b2c7 + 2bc)
15.
Factor the GCF
10x2 + 15x-5
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
16.
Factor the GCF
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
17.
Factor the GCF
39y5 + 12y4 - 3y3
39y5 + 12y4 - 3y3
a)
3y(13y4 + 4y3 - y2)
b)
3y3(13y2 + 4y - 1)
c)
y3(39y2 + 12y - 3)
d)
not factorable
18.
Find the greatest common factor. 6x4y3-12x4y2+6x3y2
a)
6
b)
6xy
c)
6x3y2
d)
6x9y6
19.
What is the GCF of 18k and 15k3?
a)
3k2
b)
3k3
c)
3k
d)
5k
20.
What is the GCF?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
21.
x2 + x - 72
a)
unfactorable
b)
(x+9)(x-8)
c)
(x-9)(x+8)
d)
(x-9)(x-8)
22.
r2 - r + 4
a)
unfactorable
b)
(r-1)(r-4)
c)
(r+1)(r+4)
d)
(r-1)(r+4)
23.
x2 - 6x - 27
a)
unfactorable
b)
(x+3)(x-9)
c)
(x-3)(x+9)
d)
(x-3)(x-9)
24.
p2 + 4p +4
a)
unfactorable
b)
(p+2)(p-2)
c)
(p+2)(p+2)
d)
(p-2)(p-2)
25.
n2 - 15n +50
a)
unfactorable
b)
(n+10)(n+5)
c)
(n-10)(n-5)
d)
(n-10)(n+5)
26.
a2 + 14a +48
a)
unfactorable
b)
(a-4)(a-12)
c)
(a+6)(a+8)
d)
(a+24)(a+2)
27.
k2 + 5k - 5
a)
unfactorable
b)
(k+5)(k-1)
c)
(k+6)(k-1)
d)
(k-5)(k+1)
28.
x2 - 7x - 8
a)
unfactorable
b)
(x+2)(x-4)
c)
(x+1)(x-8)
d)
(x-1)(x+8)
29.
b2 - 8b +12
a)
unfactorable
b)
(b+3)(b+4)
c)
(b+6)(b+2)
d)
(b-6)(b-2)
30.
p2 - 4p - 45
a)
unfactorable
b)
(p+5)(p-9)
c)
(p-5)(p+9)
d)
(p-5)(p-9)
31.
x2 - 7x + 6
a)
unfactorable
b)
(x-1)(x+6)
c)
(x+1)(x+6)
d)
(x-1)(x-6)
32.
x2 + 7x + 6
a)
unfactorable
b)
(x+1)(x-6)
c)
(x+1)(x+6)
d)
(x+2)(x+3)
33.
Find the zero(s) of the function.
a)
x = -3
b)
x = 1
c)
x = {-3, 1}
d)
y = 1
34.
Find the zero(s) of the function.
a)
x = 1
b)
x = -3
c)
x = {-1, 3}
d)
x = 2
35.
Find the root(s) of the function.
a)
x = 3
b)
x = {-3, -1, 2}
c)
x = {-3, 2}
d)
x = -1
36.
Find the zero(s) of the function.
a)
x = -3
b)
x = 3
c)
x = -12
d)
x = 12
37.
Find the solution(s) of the function.
a)
x = 2
b)
x = -2
c)
x = 18
d)
x = -9
38.
Find the zero(s) of the function.
a)
x = 10
b)
x = -10
c)
x = -8/5
d)
x = 8/5
39.
Find the zero(s) of the function.
a)
x = 10
b)
x = -10
c)
x = -8/5
d)
x = 8/5
40.
What is the x-intercept of the function?
a)
It doesn't have an x-intercept
b)
x = 1
c)
x = 4
d)
x = 0
41.
Find the zero(s) of the function.
a)
x = {-4, 4}
b)
x = -4
c)
x = 4
d)
x = 0
42.
Find the solution(s) of the function.
a)
x = {-3, 5}
b)
x = {3, 5}
c)
x = {-3, -5}
d)
x = {3, -5}
43.
Find the root(s) of the function.
a)
x = {2, -3}
b)
x = {-2, -3}
c)
x = {-2, 3}
d)
x = {2, 3}
44.
Which of the following is not an x-intercept of the function.
a)
x = -1
b)
x = 2
c)
x = 4
d)
x = 5
45.
Which of the following is NOT a solution to the function?
a)
x = -2
b)
x = -1
c)
x = 1
d)
x = 2
46.
Factor
a2 - a - 12
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
47.
Factor:
x2 + 4xy + 4y2
x2 + 4xy + 4y2
a)
(x + y)(4x + 4y)
b)
(x + 2y)(x + 2y)
c)
(2x + y)(2x + y)
d)
(x + 2)(x + 2)
48.
Factor completely.
5x2 - 13x + 6
5x2 - 13x + 6
a)
(x - 3)(5x - 2)
b)
(5x - 3)(x - 2)
c)
5(x - 3)(x + 2)
d)
Not factorable
49.
Factor completely.
2n2 + 13n + 15
2n2 + 13n + 15
a)
(5n - 9)(n - 3)
b)
(3n + 7)(n + 4)
c)
(2n + 3)(n + 5)
d)
Not factorable
50.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
51.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
52.
Factor completely:
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
53.
Factor Completely: 6x² + 2x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
Prime
54.
Factor Completely:
2c2 + 4c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2x-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
55.
Factor:
x2 + 2x - 24
x2 + 2x - 24
a)
(x - 6)(x + 4)
b)
(x + 6)(x + 4)
c)
(x - 6)(x - 4)
d)
(x + 6)(x - 4)
56.
What is the first question you ask yourself when factoring a polynomial?
a)
How many terms does it have?
b)
Is there a GCF?
c)
What strategy should I use?
d)
Why do I have to learn this?!?!?!
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