WorksheetsUnit 5 Part 1- Polynomials and Factoring Review
Total questions: 150
Worksheet time: 6hrs 54mins
Name
Class
Date
1.
Classify by number of terms:
3x3 – 6x
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
2.
Classify by degree of polynomial:
3x3 – 6x
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
3.
Classify by number of terms:
2x – 9
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
4.
Classify by degree of polynomial:
2x – 9
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
5.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
6.
Classify by degree of polynomial:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
7.
Classify by number of terms:
12
12
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
8.
Classify by degree of polynomial:
12
12
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
9.
Classify by number of terms:
7x3 – 8x2 + 9
7x3 – 8x2 + 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
10.
Classify by degree of polynomial:
7x3 – 8x2 + 9
7x3 – 8x2 + 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
11.
Classify by number of terms:
9x
9x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
12.
Classify by degree of polynomial:
9x
9x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
13.
Classify by number of terms:
-2x2 – x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
14.
Classify by degree of polynomial:
-2x2 – x
-2x2 – x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
15.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
16.
Classify by degree of polynomial:
7x3 – 8x2 -4x+ 9
7x3 – 8x2 -4x+ 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
17.
Which of the following expressions are in standard form? Select all that apply.
a)
14a5 - 8a4 + 7a2 - 11 + 5a3
b)
x2 + 5x - 24
c)
4n7 -11n3 + 22n
d)
7y2 + 13y3 - 16y
18.
Which of the following expressions are in standard form? Select all that apply.
a)
8x7 - 12x2 + 4x3 - 11x4
b)
x5 - 3x3 + x +10
c)
6x6 - 4x5 + 8x4 + 7x -11x3
d)
9x3 - 17x2 + 8x - 32
19.
Classify the following expression by terms and degrees. Select all that apply.
4x3 - 16x2 + 8
a)
Quadratic
b)
Monomial
c)
Trinomial
d)
Binomial
e)
Cubic
20.
Which of the following expressions would have a leading coefficient of 9 when put in standard form. Select all that apply.
a)
7x3 + 18x4 + 9x5
b)
9x2 - 18x + 27x3
c)
2x + 9x3 - 4x5
d)
3x2 + 9x4 - 12x + 18x3
e)
6x5 + 9x4 + 13x3
21.
What does the prefix MONO- mean?
a)
One
b)
Two
c)
Three
d)
Many
22.
What does the prefix BI- mean?
a)
Single
b)
Two
c)
Life
d)
Hello
23.
What does the prefix POLY- mean?
a)
Chemistry
b)
Many
c)
Your aunt Polly
d)
Chicken
24.
What does the prefix TRI- mean?
a)
To attempt
b)
A triangle
c)
Many
d)
Three
25.
What is the leading coefficient of 4x2 + 3?
a)
3
b)
1
c)
4
d)
7
26.
What is the leading coefficient of x4 + 3x3?
a)
3
b)
1
c)
4
d)
7
27.
Classify this polynomial by its degree and number of terms: x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
28.
Classify this polynomial by its degree and number of terms: x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
29.
Classify this polynomial by its degree and number of terms: x3 + 2x + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
30.
Classify this polynomial by its degree and number of terms: x2 + 2x3 + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
Quadratic trinomial
d)
Cubic trinomial
31.
Classify this polynomial by its degree and number of terms: x3 + 2x2 - x + 6
a)
Cubic polynomial
b)
Quadratic binomial
c)
quartic trinomial
d)
Cubic trinomial
32.
Classify this polynomial by its degree and number of terms: 4xy3 + 9xy - 2
a)
Cubic trinomial
b)
Cubic binomial
c)
quartic trinomial
d)
Cubic polynomial
33.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
34.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
35.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
36.
Add the polynomials.
(2x + 5y) + (3x - 2y)
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
37.
Simplify the 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
38.
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
39.
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
40.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
41.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
How many terms are in the following polynomial?
3x3 - 2y + 8x -16
3x3 - 2y + 8x -16
a)
1
b)
2
c)
4
d)
-16
47.
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
48.
What is the constant in the polynomial?
-2xyz + 3x2 - 2y2 - 6z2 + 32
-2xyz + 3x2 - 2y2 - 6z2 + 32
a)
-2
b)
3
c)
-6
d)
32
49.
When adding or subtracting polynomials we add / subtract the _____________________________.
a)
Exponents
b)
Polynomials
c)
Coefficients
d)
All of the above
50.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
51.
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
52.
Combine like terms to simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
53.
Multiply
(x+4)(x-2)
(x+4)(x-2)
a)
x2-2x-8
b)
2x+2
c)
x2+2x-8
d)
x2+6x-8
54.
Multiply
(2x-1)(x+3)
(2x-1)(x+3)
a)
2x2+5x-3
b)
2x-3
c)
2x2+6x-3
d)
2x2-5x-3
55.
Multiply
(4x+3)(2x-1)
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
56.
Multiply
x2(2x+3)
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
57.
Multiply
(x+5)2
(x+5)2
a)
x2+25
b)
x2-25
c)
x2+10x+25
d)
x2-10x+25
58.
Multiply
(x2-2x+1)(x+1)
(x2-2x+1)(x+1)
a)
x3-x2-x+1
b)
x3-2x+2
c)
x3+x2+x+1
d)
x3-3x2-3x+1
59.
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
60.
Simplify the expression
(x - 3)2
(x - 3)2
a)
x2 - 6x + 9
b)
x2 + 9
c)
x2 + 6x - 9
d)
x2 + 6x + 9
61.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
62.
Simplify:
-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
63.
Simplify:
(x - 7)(x + 7)
(x - 7)(x + 7)
a)
x2 + 7x - 49
b)
x2 - 7x + 49
c)
x2 - 49
d)
x2 + 49
64.
x3(2x2+3x)=
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
65.
Simplify:
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
66.
Find the sum of the polynomial.
(-6x2+3x- 7) +(10x2+4x-2)
(-6x2+3x- 7) +(10x2+4x-2)
a)
14x2+7x+5
b)
4x2+7x-9
c)
4x4+7x2-9
67.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
68.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
69.
(x+3)(x-5)
a)
x2-8x-15
b)
x2+8x-15
c)
x2+2x+15
d)
x2-2x-15
70.
(2x2-3x-4)(x+7)
a)
2x3+17x2+25x-28
b)
2x3+11x2-25x-28
71.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
72.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
73.
Divide6x+12 by 3x
a)
2+3x
b)
2+6/3x
c)
2+4/x
d)
3+6/2x
74.
Divide:
(9x2 + 6x) ÷ 3x
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
75.
a)
5p2 - 16p
b)
5p + 4
c)
5p - 4
d)
5p + 4p
76.
a)
5w 2 − 4w + 3
b)
12w 2 − 9w + 6
c)
12w 2 − 12w + 9
d)
5w 2 − 12w+ 9
77.
Divide the polynomial by the monomial.
a)
15x9 - 8x3
b)
3x6 - 8x3
c)
-5x12
d)
3x6 - 40x3
78.
Divide the polynomial by the monomial.
a)
2x8-8x2-28x
b)
2x8-2x2-7x
c)
8x7-8x-28x
d)
2x7 -2x -7
79.
6x5y4+24x6y2-36x3y3
Find the GCF
Find the GCF
a)
6x3y2
b)
6xy
80.
−28a6 +20a4 −40a3
Find the GCF
Find the GCF
a)
4a2
b)
4a3
81.
−90x9 +80x4 +80x3 +100x2
After finding the GCF, What is left?
After finding the GCF, What is left?
a)
(-9x7+8x2+8x+10)
b)
10x
c)
x2
82.
−48x2y − 8x5y2 + 80x3y2
Find the GCF
Find the GCF
a)
8x2y(-6-x3y+10xy)
b)
8x3
83.
81xy7 − 18x3y3 − 9x2y3
After finding the GCF, What is left?
After finding the GCF, What is left?
a)
9xy2
b)
(9y4-2x2-x)
84.
−42m2 + 48m2n2 − 48m2n3
Find the GCF
Find the GCF
a)
6m2
b)
12mn
85.
28y6x − 35y
Find the GCF
Find the GCF
a)
4xy
b)
7y(4y5x-5)
86.
9y2z2 − 81y3z2 − 90y2z4
Find the GCF
Find the GCF
a)
9y2z2(1-9y-10z2)
b)
9y2z2
c)
9y2
87.
12w3t2 − 9wt2 + 15w2t3
Find the GCF
Find the GCF
a)
3wt2(4w2-3+5wt)
b)
9wt
c)
3w3tx
88.
−16p3q2 + 24p2q3 − 32p4q
Find the GCF
Find the GCF
a)
8p2q3(-2pq+4qp)
b)
8p2q(-2pq+3q2-4p2)
89.
-8m8 -8m6 +20m3 -24m2
Find the GCF
Find the GCF
a)
4m2(-2m6-2m4+5m-6)
b)
4m2
c)
-4m2
90.
-20r4 -50r2
Find the GCF
Find the GCF
a)
r2
b)
10r3
c)
10r2(-2r2-5)
91.
−45k3 − 18k2 + 9k
Find the GCF
Find the GCF
a)
k2
b)
9k(-5k2-2k+1)
92.
5h3 k − 20h2 k2 + 100hk
Find the GCF
Find the GCF
a)
5hk2
b)
5hk(h2-4hk+20)
93.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
94.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4
95.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
96.
What is the GCF? 3x2-2x
a)
3
b)
3x
c)
x
d)
2
97.
Factor:
x2 - 5x
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
98.
Factor:
10x + 15
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
99.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
100.
Factor by using GCF:
8n3 + 2n2
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
101.
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)
102.
3x3 + 9x2 - 15x
a)
x(3x2 + 9x - 15)
b)
3x(x2 + 3x - 5)
c)
3x(x2 - 9x + 15)
d)
x(3x2 -9x + 15)
103.
Factor:
2n2+16n+12
2n2+16n+12
a)
2n(n2+24n+6)
b)
2(n2+8n+6)
c)
2n(n2+8n+6)
d)
3(n2+8n+6)
104.
Factor:
80x5-70x2-60x7
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x5)
d)
3x2(80x3-40-60x5)
105.
6xy - 8x + 15y - 20
a)
(3y + 4)(2x - 5)
b)
(3y - 4)(2x + 5)
c)
(2y - 4)(3x + 5)
d)
(2y + 5)(2y - 4)
106.
Factor by grouping:
x³ + 7x² - 2x - 14
x³ + 7x² - 2x - 14
a)
(x² - 2) (x - 7)
b)
(x² + 2) (x - 7)
c)
(x² + 2) (x + 7)
d)
(x² - 2) (x + 7)
107.
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)
108.
What is the factored form of 4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
109.
20x3-25x2+4x-5
a)
(5x2-5)(4x+1)
b)
5(x2-1)(4x+5)
c)
(5x2+1)(4x-5)
d)
(5x2+1)(4x-1)
110.
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
111.
2x3-8x2-x+4
a)
(2x2-1)(x-4)
b)
2(x2-1)(x+4)
c)
(x2-1)(2x-4)
d)
(2x2+1)(x-4)
112.
What is the factored form of 2a³-2a²?
*Hint GCF
*Hint GCF
a)
2a²(a)
b)
2a(2a²-a)
c)
2a²(a-1)
d)
2a²(a+1)
113.
What is the greatest common factor of 42xy2 and 28x3y?
a)
84x3y2
b)
14y
c)
14xy
d)
14xy2
114.
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)
115.
20x3-25x2+4x-5
a)
(5x2-5)(4x+1)
b)
5(x2-1)(4x+5)
c)
(5x2+1)(4x-5)
d)
(5x2+1)(4x-1)
116.
2x3-8x2-x+4
a)
(2x2-1)(x-4)
b)
2(x2-1)(x+4)
c)
(x2-1)(2x-4)
d)
(2x2+1)(x-4)
117.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
118.
x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
119.
x2 - 225
a)
( x + 15) ( x + 15)
b)
Prime
c)
( x - 15) ( x + 15)
d)
( x - 15) ( x - 15)
120.
x2 - 400
a)
( x - 200) ( x + 200)
b)
( x + 20) ( x + 20)
c)
Prime
d)
( x - 20) ( x + 20)
121.
x2 - 169
a)
( x - 13) ( x + 13)
b)
( x + 13) ( x + 13)
c)
( x - 13) ( x -13)
d)
Prime
122.
4x2 - 64y2
a)
Prime
b)
( 2x - 32y) (2 x + 32y)
c)
( 2x - 8y) (2 x - 8y)
d)
( 2x - 8y) (2 x + 8y)
123.
25x2y2 - 100
a)
( 5xy - 10) (5xy + 10)
b)
( 5xy + 10) (5xy + 10)
c)
Prime
d)
( 5xy - 50) (5xy + 50)
124.
9x2 - 49y6
a)
( 3x + 7y3) (3x + 7y3)
b)
( 3x - 7y3) (3x + 7y3)
c)
( 3x - 7y3) (3x - 7y3)
d)
Prime
125.
x2 + 81
a)
Prime
b)
( x - 9 ) ( x + 9 )
c)
( x + 9 ) ( x + 9 )
d)
( x - 9 ) ( x - 9 )
126.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
127.
Factor: x2 - 16
a)
Prime
b)
( x - 4) ( x + 4)
c)
( x - 8) ( x + 8)
d)
( x - 4) ( x - 4)
128.
Factor: 4x2 - 9
a)
(4x - 9)(4x + 9)
b)
(2x - 3)(2x + 3)
c)
2x - 3
d)
(2x - 4.5)(2x + 4.5)
129.
Which of the following is an example of a difference of perfect squares?
a)
x2 - 4
b)
x2 - 3
c)
x2 - 14
d)
x2 - 24
130.
Which of the following cannot be factored using difference of squares?
a)
4x2 - 121
b)
16 - 25x2
c)
m2 - n2
d)
36x2 - 54
131.
Which expression is equivalent to
x2 - 1?
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 1)(x + 1)
d)
(x + 6)(x - 6)
132.
Which of these numbers is NOT an example of a perfect square?
a)
9
b)
2
c)
4
d)
1
133.
Factor 4x2-9
a)
(4x-9)(4x+9)
b)
(2x-3)(2x+3)
c)
2x-3
d)
(2x-4.5)(2x+4.5)
134.
What is ALWAYS the first step when factoring?
a)
Look for the GCF
b)
Write a, b, and c
c)
Difference of squares
d)
Group
135.
Factor 4x2-16
a)
(2x-4)(2x+4)
b)
(4x-4)(4x+4)
c)
4(x-2)2
d)
4(x-2)(x+2)
136.
What is the greatest common factor of this equation?
2x4 - 8x2 + 4x
2x4 - 8x2 + 4x
a)
2x4
b)
-8x2
c)
2x
d)
4x
137.
Which expression has two factors?
a)
(x - 2)(x - 3)
b)
2x2 -17
c)
(x + 3) + (3x - 4)
d)
2xy
138.
Which word can be used to best describe this expression?
z2 - 6xy + 3y + 2
z2 - 6xy + 3y + 2
a)
Monomial
b)
Binomial
c)
Polynomial
d)
Trinomial
139.
How would you describe this expression in words?
32
32
a)
"Two Cubed"
b)
"Three Two"
c)
"Three Cubed"
d)
"Three Squared"
140.
What method was used to factor this expression?
a)
Grouping
b)
Polynomial
c)
Greatest Common Factor
d)
Perfect Square
141.
Which of these numbers is NOT an example of a perfect square?
a)
9
b)
2
c)
4
d)
1
142.
Which word does not describe the factoring method used?
25x2 - 1
(5x + 1)(5x - 1)
25x2 - 1
(5x + 1)(5x - 1)
a)
Difference
b)
Perfect Square
c)
Binomial
d)
Sum
143.
What word describes the term highlighted in green?
6x3y2 - 3x2y + 9y
3y(2x2y - x2 + 3)
6x3y2 - 3x2y + 9y
3y(2x2y - x2 + 3)
a)
Polynomial
b)
Greatest Common Factor
c)
Prime Factorization
d)
Sum
144.
Which of the answers is equal to seven squared?
a)
14
b)
49
c)
9
d)
5
145.
________ can be used to factor polynomials with four terms.
a)
Prime Factorization
b)
Grouping
c)
Perfect Squares
d)
Difference
146.
Which is an example of the difference of perfect squares?
a)
x2 - 16
b)
x2 + 16
c)
x3 - 16
d)
x3 + 16
147.
What is the result when you multiply these factors?
(x + 3) and (x - 3)
(x + 3) and (x - 3)
a)
2x
b)
x2 - 9
c)
-1
d)
6
148.
225 - x2
a)
( x + 15)( x - 15)
b)
Prime
c)
( 15 - x)( 15 + x)
d)
( 15 - x) ( 15 - x)
149.
9x2 - 49y6
a)
(3x + 7y3)(3x + 7y3)
b)
(3x - 7y3)(3x + 7y3)
c)
(3x - 7y3)(3x - 7y3)
d)
Prime
150.
Factor the Polynomial:
121r2 - 64t2
121r2 - 64t2
a)
(11r + 8t)(11r - 8t)
b)
(12r - 8t)(12r + 8t)
c)
(11r + 9t)(11r + 9t)
d)
prime
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