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WorksheetsPOLYNOMIALS
Total questions: 33
Worksheet time: 5hrs 44mins
Name
Class
Date
1.
What is the degree classification of this polynomial?
x²+4x-8
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
2.
Which is an example of a linear polynomial?
a)
x²-5
b)
6x+4
c)
5x⁵
d)
2x³-9x²
3.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
4.
Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)
(x³-2x²+3)+(2x³+3x²-1)
a)
3x³-2x²+3x+2
b)
3x³+x²+2
c)
3x³-5x²-2
d)
3x³-x²+1
5.
Subtract the following polynomials:
(2x³+6x²+4x-2)-(x³+4x²-x)
(2x³+6x²+4x-2)-(x³+4x²-x)
a)
x³+2x²+5x-2
b)
x³+10x²+3x-2
c)
3x³+2x+4x-3
d)
3x³+10x²-3x-2
6.
Classify the polynomial by its degree.
x2 + 2x3 - 4
x2 + 2x3 - 4
a)
A
binomial
binomial
b)
B
trinomial
trinomial
c)
C
quadratic
quadratic
d)
D
cubic
cubic
7.
Classify the polynomial by its number of terms.
4x² - 2
4x² - 2
a)
A
monomial
monomial
b)
B
binomial
binomial
c)
C
trinomial
trinomial
d)
D
polynomial
polynomial
8.
What is the degree of the polynomial?
x3y2 - 7x2y + 3
x3y2 - 7x2y + 3
a)
A
1
1
b)
B
3
3
c)
C
5
5
d)
D
7
7
9.
Simplify (multiply)
(3x²)(3x⁴y³)
(3x²)(3x⁴y³)
a)
A
9x⁶y³
9x⁶y³
b)
B
3x⁶y³
3x⁶y³
c)
C
6x⁸y³
6x⁸y³
d)
D
6x⁸y⁶
6x⁸y⁶
10.
What is the degree of this term?
-7x3y2z2
-7x3y2z2
a)
A
3
3
b)
B
2
2
c)
C
12
12
d)
D
7
7
11.
How many terms are in the following polynomial?
3xy - 2y + 8x - 7z -16
3xy - 2y + 8x - 7z -16
a)
A
1
1
b)
B
2
2
c)
C
4
4
d)
D
5
5
12.
Terms in a polynomial are separated by what?
a)
A
Parenthesis
Parenthesis
b)
B
Multiplication/
Division
Multiplication/
Division
c)
C
Constants
Constants
d)
D
Addition/
Subtractraction
Addition/
Subtractraction
13.
Factor
x2 - 13x + 36
x2 - 13x + 36
a)
A
(x + 9)(x + 4)
(x + 9)(x + 4)
b)
B
(x - 9)(x - 4)
(x - 9)(x - 4)
c)
C
(x + 9)(x - 4)
(x + 9)(x - 4)
d)
D
(x - 9)(x + 4)
(x - 9)(x + 4)
14.
Factor completely:
20a3 + 8a2
20a3 + 8a2
a)
A
a(20a2 + 8a)
a(20a2 + 8a)
b)
B
2a2(10a2 + 4)
2a2(10a2 + 4)
c)
C
4a2(5a + 2)
4a2(5a + 2)
d)
D
4a(5a2 + 2a)
4a(5a2 + 2a)
15.
Factor completely
16x2 - 16x - 12?
16x2 - 16x - 12?
a)
A
4(2x - 2) (2x + 2)
4(2x - 2) (2x + 2)
b)
B
(2x - 3) (8x + 4)
(2x - 3) (8x + 4)
c)
C
(8x - 12) (2x + 3)
(8x - 12) (2x + 3)
d)
D
4(2x - 3) (2x + 1)
4(2x - 3) (2x + 1)
16.
Divide
6x2 - 22x + 20
by 2x - 4
6x2 - 22x + 20
by 2x - 4
a)
A
4x + 16
4x + 16
b)
B
3x + 5
3x + 5
c)
C
3x - 5
3x - 5
d)
D
4x - 16
4x - 16
17.
What are the length and width of the rectangle?
a)
A
4x - 3 and x - 5
4x - 3 and x - 5
b)
B
4x + 3 and x - 5
4x + 3 and x - 5
c)
C
x + 3 and 4x - 5
x + 3 and 4x - 5
d)
D
x - 3 and 4x - 5
x - 3 and 4x - 5
18.
What is the width of the rectangle?
a)
A
2n + 12
2n + 12
b)
B
2n - 12
2n - 12
c)
C
2n + 3
2n + 3
d)
D
2n - 3
2n - 3
19.
Factor completely:
16x2 - 20xy
16x2 - 20xy
a)
4 (4x2 - 5xy)
b)
4x (4x - 5y)
c)
4x2 (4 - 5y)
d)
2(duck)
20.
Factor completely:
4x2y - 12xy + 5y
4x2y - 12xy + 5y
a)
(2xy - 1) (2x - 5)
b)
prime
c)
y (2x - 1) (2x - 5)
d)
4 (xy - 5) (x - 1)
21.
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)
22.
Factor completely:
-8x2 + 10x + 3
-8x2 + 10x + 3
a)
(2x - 3) (-4x - 1)
b)
-1 (2x - 3) (4x + 1)
c)
-1 (-2x + 3) (4x + 1)
d)
(-2x + 3) (4x + 1)
23.
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)
24.
What is the first step in factoring this problem?
x2 + x - 6
a)
Multiply
b)
List the factors of -6
c)
Add the factors of -6
d)
Factor out the GCF
25.
Factor: x3 + 1
a)
(x + 1)3
b)
(x+1)(x2 - x + 1)
c)
(x - 1) (x2 + x - 1)
d)
(x + 1)(x2 - 2x + 1)
26.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
27.
Complete the formula
a³-b³=
a³-b³=
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
28.
Factor: 27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
29.
Level 2 Question 14
8x6 - 64
8x6 - 64
a)
Prime
b)
8(x2 - 2)3
c)
8(x2-2)(x4+2x2+4)
d)
8(x-2)6
30.
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)
31.
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
32.
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
33.
x4 - 100y2
a)
(x2 + 10y) (x2 - 10y)
b)
(x + 10y) (x - 10y)
c)
(x + 10y) (x3 - 10y)
d)
(x3 + 10y) (x - 10y)
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