WorksheetsPolynomials & Factoring
Total questions: 70
Worksheet time: 3hrs 5mins
Name
Class
Date
1.
Classify by degree of polynomial:
3x3 – 6x
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
2.
Classify by number of terms:
2x – 9
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
3.
Classify by degree of polynomial:
2x – 9
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
4.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
5.
Classify by number of terms:
12
12
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
6.
Classify by degree of polynomial:
7x3 – 8x2 + 9
7x3 – 8x2 + 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
7.
Classify by number of terms:
9x
9x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
8.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
9.
Classify 20x2 + 15x + 2
a)
cubic trinomial
b)
linear monomial
c)
quartic trinomial
d)
quadratic trinomial
10.
Is this polynomial in standard form?
What is it's degree?
6x5 + 4x7 - 2x3 + 1
What is it's degree?
6x5 + 4x7 - 2x3 + 1
a)
Yes; degree 5
b)
No; degree 5
c)
Yes; degree 7
d)
No; degree 7
11.
This polynomial: 3x2 - 4x4 + 7x3 - 1 + 5x ,written in standard form would be
a)
3x2 - 4x4 + 7x3 - 1 + 5x
b)
- 4x4 + 7x3 + 3x2 + 5x - 1
c)
- 1 + 5x + 3x2 + 7x3 - 4x4
d)
7x3+ 5x - 4x4+ 3x2 - 1
12.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
7x3 - 11x2 + 8x - 5
a)
True
b)
False
13.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
14.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
15.
Find the sum.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
16.
Which expression represents the perimeter?
a)
3x + 3
b)
4x + 3
c)
4x + 6
d)
6x + 6
17.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
18.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
19.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
20.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
21.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
22.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
23.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
24.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
25.
What does FOIL stand for?
a)
Failing Only in Latin
b)
Farming Only in Lakewood
c)
First Outside Inside Last
d)
Fresh Only in Lakes
26.
a)
2 cows
b)
RedBull
c)
Number 1
d)
Sting Dâu Tây
27.
Name that theme park
a)
Legoland
b)
Magic Mountain
c)
Knotts Berry Farm
d)
Disneyland
28.
What social media site uses this logo?
a)
Facebook
b)
Twitter
c)
Snapchat
d)
Instagram
29.
Name the video game
a)
Just Dance
b)
Minecraft
c)
Mario Brothers
d)
Skylander
30.
Who is that Pokemon?
a)
Articuno
b)
Moltres
c)
Zapados
d)
Other..
31.
Who is that Pokemon?
a)
Zapados
b)
Articuno
c)
Moltres
d)
Other
32.
What restaurant has this logo?
a)
Burger King
b)
McDonald's
c)
Carl's Jr
d)
In N Out
33.
(3x + 2)(2x + 4)
a)
6x2 + 16x + 8
b)
5x2 +11x + 6
c)
5x2 + 16x + 6
d)
6x2 + 11x + 8
34.
(3x + 1)(3x - 1)
a)
9x2 + 1
b)
9x2 - 1
c)
9x2 + 6x - 1
d)
9x2 - 6x - 1
35.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
36.
(x + 5)(x - 4)
a)
x2 + 9x + 20
b)
x2 + 9x - 20
c)
x2 + 1x - 20
d)
x2 - 1x - 20
37.
Simplify the following expression:
-6x + 4(-x - 3)
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
38.
Simplify
-2x - 4(4x - 8)
-2x - 4(4x - 8)
a)
-16x - 2
b)
-18x + 32
c)
18x - 32
d)
-16x + 2
39.
GCF stands for...
a)
great calculator festival
b)
giant circumference fact
c)
grouped calculation finder
d)
greatest common factor
40.
Factor the following
12x3y4z2+14x4yz-6x5y4z2
12x3y4z2+14x4yz-6x5y4z2
a)
2x3yz(6xy3z+7x-3x2y3z)
b)
6x3yz(2y3z+2x-1x2y3z)
c)
2x2y2z(6y3z+7x-3x2y3z)
d)
2xyz(6x2y3z+7xyz-3x2y3z)
41.
Factor
-10xy9z + 8y3z5
-10xy9z + 8y3z5
a)
2y4z(-20xy6 + 4z4)
b)
2y3z(-5xy6 +4z4)
c)
2y3z(-5xy6z + 4z5)
d)
2y3z(-5xy6z + 8z4)
42.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
43.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
44.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
45.
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)
46.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
47.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
48.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
49.
What is the first step when factoring polynomials?
a)
Find the GCF
b)
List all the terms
c)
Make a triangle
d)
Write the answer
50.
A classroom has an area of 3x2 + 7x + 2. If the length of the classroom is (3x + 1), what is the width of the classroom?
a)
3x + 1
b)
x + 2
c)
3x + 7
d)
7x + 2
51.
What is the factored form of
16x2 - 16x - 12?
16x2 - 16x - 12?
a)
4(2x - 2) (2x + 2)
b)
4(2x - 6) (x + 2)
c)
4(2x - 2) (2x + 3)
d)
4(2x - 3) (2x + 1)
52.
In what Disney film do you find a group of vegetarian sharks?
a)
Toy Story
b)
Mulan
c)
Finding Nemo
d)
Sleeping Beauty
53.
Name the brand
a)
YouTube
b)
MTV
c)
Yahoo
d)
Ebay
54.
Name the brand
a)
Twitter
b)
Internet Explorer
c)
Facebook
d)
WhatsApp
55.
In terms of revenue, it's the second-largest fast food chain in the world
a)
KFC
b)
Carl’s Jr.
c)
Wendy’s
d)
Burger King
56.
It has over 13,000 locations in 79 different countries
a)
Chipotle Mexican Grill
b)
Burger King
c)
Wendy’s
d)
Domino's Pizza
57.
Founded by Steve Ells in 1993, this chain has grown to over 2000 locations
a)
Subway
b)
Wendy’s
c)
Pizza Hut
d)
Chipotle Mexican Grill
58.
This chain is known for their square-pattied burger made with fresh ground beef
a)
Wendy's
b)
Carl’s Jr.
c)
McDonald's
d)
Burger King
59.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
60.
Factor by using 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)
61.
Factor by using GCF:
8n3 + 2n2
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
62.
Factor by GCF:
6m2 + 16m
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
63.
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
64.
Factor by grouping
x3 - 4x2 -4x + 16
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
65.
30x3+15x2-18x-9
a)
(5x2-3)(6x+1)
b)
(5x2-3)(6x+3)
c)
3(5x2+3)(2x-1)
d)
3(5x2-3)(2x+1)
66.
Factor by grouping:
5n³-10n²+3n-6
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
67.
who is this
a)
Demi lovato
b)
Bianca
c)
Rihanna
d)
Beyonce
68.
Who is this
a)
Beyonce
b)
Miley Cyrus
c)
Hannah montana
d)
Selena gomez
69.
Who led the league in blocks in the 2015 season?
a)
Isaisah Thomas
b)
Anthony Davis
c)
Serge Ibaka
d)
Kevin Love
70.
click.
a)
not here
b)
not here
c)
CLICK tHERE -->
d)
blank
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