WorksheetsOperations on Polynomials
Total questions: 20
Worksheet time: 58mins
Name
Class
Date
1.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x2 - 3x - 11
c)
8x2 + 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
2.
Which polynomial is written in standard form?
a)
8x - 11x2
b)
4x3 + 7x - 9
c)
12 + 4x
d)
13x + 7x2 - 9x3 + 12
3.
Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
4y + 3x3 + 2y + 8x3 - 6y
a)
11x3
b)
11x3 + 12y
c)
5x3
d)
11x6
4.
Combine Like Terms:
2x - 4x + 12x2
2x - 4x + 12x2
a)
12x2 - 2x
b)
10x
c)
10x2
d)
12x2 + 2x
5.
Combine like terms:
5x2+ x - x2+ 4x
5x2+ x - x2+ 4x
a)
6x2 + 5x
b)
4x2 + 3x
c)
4x2 + 5x
d)
5x2 + 5x
6.
Add the following polynomials:
(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.
Add the following polynomials:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
8.
Add the following polynomials:
(6n2 - 7n4+8) + (6 + 8n + 4n4)
(6n2 - 7n4+8) + (6 + 8n + 4n4)
a)
-3n4+ 6n2+8n+14
b)
-n4-2n2+8n+7
c)
-n4 + 6n2+8n+7
d)
-3n4+ 6n2+8n+7
9.
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
10.
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
11.
Subtract the following polynomials:
(a3 - 2a2) - (-4a3 + 4a2)
(a3 - 2a2) - (-4a3 + 4a2)
a)
-5a6 - 5a4
b)
5a3 - 2a2
c)
-2a3 - 6a2
d)
5a3 - 6a2
12.
Subtract the following polynomials:
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
a)
-3p2 + 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 +3p2 +16p -10
d)
4p3 +3p2 + 16p + 10
13.
Find the product:
-3x2(5x2 + 3x)
-3x2(5x2 + 3x)
a)
-15x4 - 9x2
b)
-15x4 - 9x3
c)
15x4 - 6x3
d)
-15x4 + 9x3
14.
Find the product:
-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
15.
Find the product:
5xy(6x - y)
5xy(6x - y)
a)
11x2 - y2
b)
30x2 + y2
c)
30x2y - 5xy2
d)
11x2y + 5x2y2
16.
Find the product:
2x( -2x - 3)
2x( -2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
17.
Use the FOIL method to multiply:
(x +2)(x + 3)
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
18.
Use the FOIL method to multiply:
(x+10)(x-10)
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
19.
Use the FOIL method to multiply:
(4x+1)(5x−2)
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
20.
Use the FOIL method to multiply:
(x-7)2
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
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