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Worksheets

Operations on Polynomials

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
2.
Simplify the expression.
-3x2( 7x- x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x+ 3x+ 12x2
d)
-12x+ 3x-21x4
3.
Multiply
(x+5)2
a)
x2+25
b)
x2-25
c)
x2+10x+25
d)
x2-10x+25
4.

(5x+2)(x2−3x+6)

a)

5x3 - 17x2 +24x +12

b)

5x3 + 17x2 - 24x +12

c)

5x3 - 13x2 + 24x +12

d)

5x3 +13x2 - 24x - 12

5.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x+ 3x +1
b)
-2x- 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
6.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
7.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y+ 7y- 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y-y - 4
d)
4y+ 3y-3y + 1
8.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
9.
A rectangle has width (2x + 3) and length (2x - 4).  What is the perimeter of the rectangle?
a)
4x - 12
b)
4x - 1
c)
8x - 2
d)
4x- 2x - 12
10.
Find the area of a rectangle with length (x - 5) and width (3x + 1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5