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WorksheetsPolynomial Operations
Total questions: 20
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
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
2.
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
3.
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
4.
Find the product:
(x + 7)2
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
5.
Multiply.
(b+3)(b2+2b+1)
(b+3)(b2+2b+1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
6.
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
7.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
8.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
9.
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
10.
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
11.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
12.
Multiply the binomial: (x + 3)3
a)
x3 + 3x2 + 3x + 1
b)
27x3 + 27x2 + 9x + 1
c)
I don't know
d)
x3 + 9x2 + 27x + 27
13.
Multiply the binomial: (x - 2)4
a)
x4 + -8x3 + 24x2 + 32x + 16
b)
-x5 + 8x4 - 24x3 + 32x2 - 32
c)
x5 + 8x4 + 24x3 + 32x2 + 32
d)
x5 - 4x4 + 6x3 - 4x2 + 1
14.
Multiply (x + y)5
a)
x5 + x4y + x3y2 + x2y3 + xy4 + y5
b)
x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5
c)
x5 + 5x4 + 10x3 + 10x2 + 5x + 1
15.
(5p2+5p-26)÷(p+3)
a)
5p-10 + 4/p+3
b)
5p-12 + 1/p+3
c)
5p-13 + 8/p+3
d)
5p-10 + 5/p+3
16.
(8p3-38p2-17p+43)÷(p-5)
a)
8p2+2p-7 + 8/p-5
b)
8p2+p-9 + 9/p-5
c)
8p2+p-5 + 13/p-5
d)
8p2+p-10 + 4/p-5
17.
a)
x + 5 + (2/2x - 4)
b)
x - 8
c)
x - 5 + (3/2x - 4)
d)
x + 5
18.
(2x3 - 5x - 7) ÷ (x - 2)
a)
2x3 - 4x2 + 3x - 13
b)
2x3 + 4x2 +3x - 1
c)
2x2 - 4x + 3 - 13/x-2
d)
2x2 + 4x + 3 - 1/x-2
19.
(2x3 + 7x2 - 6x - 8) ÷ (x+ 4)
a)
2x2 - x - 2
b)
2x3 - x2 - 2x
c)
2x2 + 15x + 54 + 208/x+4
d)
2x3 + 15x2 + 54x + 208
20.
a)
4x - 2
b)
4x + 2
c)
4x - 2 + (1/3x - 1)
d)
4x + 2 + (1/3x - 1)
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