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WorksheetsFactoring Review
Total questions: 34
Worksheet time: 9hrs 30mins
Name
Class
Date
1.
To factor x2+13x+42, think of two numbers whose (blank) is 42 and whose (blank) is 13.
a)
product, sum
b)
sum, product
c)
You guess until it is right
2.
What polynomial has factors (x - 3)(x + 8)?
a)
x2 + 5x -24
b)
x2 - 5x + 24
c)
x2 - 5x -24
d)
x2 + 5x + 24
3.
Factor:
x2 + 7x + 6
x2 + 7x + 6
a)
(x + 6) (x + 1)
b)
(x + 3) (x + 2)
c)
(x + 4) ( x + 3)
d)
(x - 6) ( x -1)
4.
Factor:
x2 + 6x + 8
x2 + 6x + 8
a)
(x + 4)(x + 2)
b)
(x - 4) ( x - 2)
c)
(x + 8) (x + 1)
d)
(x - 8) (x-1)
5.
Factor:
x2 - 8x + 15
x2 - 8x + 15
a)
(x + 5) ( x + 3)
b)
(x - 5) (x - 3)
c)
(x + 15) (x - 1)
d)
(x - 7) (x - 8)
6.
Factor:
x2 - 3x - 18
x2 - 3x - 18
a)
(x - 6) (x - 3)
b)
(x - 6) (x + 3)
c)
(x - 9) (x + 2)
d)
(x - 18) (x + 1)
7.
Factor:
x2+ 5x + 2
x2+ 5x + 2
a)
(x + 2) (x - 1)
b)
(x + 2) (x + 1)
c)
Prime polynomial
8.
Factor:
x2 - 13x + 30
x2 - 13x + 30
a)
Prime Polynomial
b)
(x - 15) ( x - 2)
c)
(x - 15) ( x + 2)
d)
(x + 5) ( x + 6)
9.
Factor:
x2 - x - 30
x2 - x - 30
a)
(x - 6) (x + 5)
b)
(x - 5) ( x + 6)
c)
Prime Polynomial
d)
(x - 6) ( x - 5)
10.
Factor:
x2 - 10x + 9
x2 - 10x + 9
a)
(x - 9) (x - 1)
b)
(x + 3) (x - 3)
c)
(x + 9) (x - 1)
d)
Prim polynomial
11.
Factor:
x2 - 6x + 9
x2 - 6x + 9
a)
(x - 3)(x + 3)
b)
(x - 3) (x - 3)
c)
(x + 3) (x + 3)
d)
Prime polynomial
12.
7x2 + 14x - 21
a)
7(x - 3) (x + 1)
b)
Prime Polynomial
c)
7(x - 1) (x + 3)
d)
(7x +1)(x - 3)
13.
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
(3x - 5) ( 4x2 - 2x - 3)
a)
12x3 - 26x2 - 25x + 15
b)
12x3 - 20x2 - 5x + 15
c)
12x3 - 20x2 - 6x + 15
d)
12x3 - 26x2 + x + 15
14.
Factor:
42x4y3 - 14x3y5
42x4y3 - 14x3y5
a)
14x3y3
b)
7x3y3 (6x - 2y2)
c)
14x3y3 (3x - y2)
d)
14xy (3x3y2 - x2y4)
15.
Factor completely:
x4 - 16
x4 - 16
a)
(x2 + 4)(x + 2)(x - 2)
b)
(x + 2)(x - 2)(x + 2)(x - 2)
c)
(x2 - 4)(x2 + 4)
d)
(x - 4)(x+ 4)
16.
Factor completely:
6x3 - 27x2 - 105x
6x3 - 27x2 - 105x
a)
(6x2 + 15x)(x - 7)
b)
3x(2x2 - 9x - 35)
c)
3x(2x + 5)(x - 7)
d)
(2x + 5)(3x2 - 21x)
17.
Factor completely:
x3 + 3x2 - 4x - 12
x3 + 3x2 - 4x - 12
a)
(x + 3)(x2 - 4)
b)
(x + 3) (x + 2)(x - 2)
c)
(x2 + 4) (x - 3)
d)
(x2 + 3)(x - 4)
18.
2x3-128x
a)
2x(x2-64)
b)
2x(x-8)(x+8)
c)
2(x3-64x)
d)
2x(x-8)(x-8)
19.
24x3+18x2-6x
a)
6x(4x2+3x-1)
b)
6x(x2+3x-4)
c)
6x(x+4)(x-1)
d)
6x(x+1)(4x-1)
20.
4a3-a2b-36a+9b
a)
(4a-b)(a2-9)
b)
(4a-b)(a-3)(a+3)
c)
(b-4a)(a2-9)
d)
(b-4a)(a-3)(a+3)
21.
2y2-9y-18
a)
(y-12)(y+3)
b)
2(y-12)(y+3)
c)
(y-6)(2y+3)
d)
2(y-6)(2y+3)
22.
x4-y4
a)
(x2+y2)(x2-y2)
b)
(x2+y2)(x-y)(x+y)
c)
(x+y)(x-y)(x+y)(x-y)
d)
(x2-y2)(x+y)(x-y)
23.
3x2-6x+3
a)
Prime
b)
3(x2-2x+1)
c)
3(x-1)(x-1)
d)
x2-6x+9
24.
6x2y-28xy+30y
a)
2y(3x2-14x+15)
b)
2y(x2-14x+45)
c)
2y(x-5)(x-9)
d)
2y(x-3)(3x-5)
25.
14x3-7x2+2xy-y
a)
(2x-1)(7x2+y)
b)
(14x3-7x2)(2xy-y)
c)
x(14x2-7x+2y-y)
d)
7xy(2x-1)(2y-1)
26.
13x5-13x
a)
13x(x4-1)
b)
13x(x2-1)(x2+1)
c)
13x(x2+1)(x-1)(x+1)
d)
13x(x-1)(x+1)(x-1)(x+1)
27.
81y4-1
a)
(9y2+1)(9y2-1)
b)
(9y2+1)(3y-1)(3y+1)
c)
(3y-1)(3y+1)(3y-1)(3y+1)
d)
(9y2-1)(3y+1)(3y-1)
28.
52xy-39xz
a)
Prime
b)
x(52y-39z)
c)
13x(4y-3z)
d)
3x(17y-13z)
29.
Which Wisconsin City is on the Mississippi River?
a)
Madison
b)
Milwaukee
c)
Green Bay
d)
La Crosse
30.
Which Wisconsin county "sticks out" into Lake Michigan? (looks like a thumb on a hand)
a)
Vernon
b)
Juneau
c)
Sauk
d)
Door
31.
How many counties does the State of Wisconsin have?
a)
52
b)
62
c)
72
d)
82
32.
What is the Wisconsin "state bird"?
a)
Cardinal
b)
Blue Bird
c)
Eagle
d)
Robin
33.
What is the Wisconsin "state flower"?
a)
Violet
b)
Daisy
c)
Rose
d)
Tulip
34.
What current building was the original Hartland High School?
a)
Wee Know School (on Highway 83)
b)
Hartland North (by HAAA Field & St. Charles)
c)
Swallow School
d)
Merton Elementary
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