WorksheetsPolynomial Arithmetic
Total questions: 15
Worksheet time: 18mins
Name
Class
Date
1.
Add the polynomials.
(x + 5) + (2x + 7)
(x + 5) + (2x + 7)
a)
3x + 12
b)
2x2 + 35
c)
2x2 + 12x + 35
d)
3x + 57
2.
Add the polynomials.
(4x + 2) + (3x - 8)
(4x + 2) + (3x - 8)
a)
7x - 6
b)
12x - 16
c)
12x + 16
d)
12x2 - 26x - 16
3.
Subtract the polynomials.
(8x + 5) - (4x + 3)
(8x + 5) - (4x + 3)
a)
4x + 2
b)
-4x - 15
c)
32x2 + 44x + 15
d)
4x + 15
4.
Subtract the polynomials.
(2x + 12) - (5x - 8)
(2x + 12) - (5x - 8)
a)
-3x + 20
b)
-3x + 4
c)
7x + 4
d)
10x2 + 76x - 96
5.
Multiply:
5x (3x2 + 2x - 7)
5x (3x2 + 2x - 7)
a)
15x3 + 10x2 - 35x
b)
60x3
c)
8x3 + 7x2 - 12x
d)
15x2 + 10x - 35x
6.
Multiply:
-4 (3x2 - 5x - 10)
-4 (3x2 - 5x - 10)
a)
-12x2 + 20x + 40
b)
72x2
c)
-1x2 + 20x - 40
d)
-12x2 - 20x - 40
7.
What is the GCF of
12, 18, and 30?
12, 18, and 30?
a)
6
b)
12
c)
4
d)
48
8.
Factor out the GCF:
12x2 + 6x
12x2 + 6x
a)
6x (2x + 1)
b)
6 (2x2 + x)
c)
x (12x + 1)
d)
6x (2x)
9.
Multiply:
(x + 5)(x - 4)
(x + 5)(x - 4)
a)
x2 + x - 20
b)
x2 - 9
c)
x2 + 9x + 1
d)
x2 + 9x + 20
10.
Multiply:
(2x + 3)(3x + 1)
(2x + 3)(3x + 1)
a)
6x2 + 11x + 3
b)
6x2 - 11x - 3
c)
5x2 + 9x + 4
d)
5x2 + 2x + 3
11.
Multiply:
(x + 5)(x - 5)
(x + 5)(x - 5)
a)
x2 - 25
b)
x2 - 10
c)
x2 - 10x + 25
d)
x2 + 10x - 25
12.
Mulitply:
(3x + 6)(3x - 6)
(3x + 6)(3x - 6)
a)
9x2 - 36
b)
6x2 - 12
c)
9x2 + 36x + 36
d)
9x2 + 36
13.
Multiply:
(x + 8)2
(x + 8)2
a)
x2 + 16x + 64
b)
x2 + 64
c)
x2 + 16
d)
x2 + 8x + 16
14.
Multiply:
(2x - 1)2
(2x - 1)2
a)
4x2 - 4x + 1
b)
4x2 - 1
c)
4x2 + 1
d)
4x2 + 2x + 4
15.
Which set of factors would multiply to get
x2 + 5x + 4
x2 + 5x + 4
a)
(x + 4) (x + 1)
b)
(x + 5) (x + 4)
c)
(x - 4) (x - 1)
d)
(x + 20) (x + 4)
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