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Polynomial Operations Practice

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
2.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
3.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
4.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
5.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
6.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
7.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
8.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
9.
6v(2v + 3) 
a)
12v+18
b)
15v2 + 8v
c)
12v2 + 18v
d)
12v2 + 18v2
10.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
11.
(x + 7)(x - 2)
a)
x2 - 5x + 5
b)
x2 - 9x - 14
c)
x2 - 5x - 14
d)
x2 + 5x - 14
12.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
13.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
14.


Find the product:
(x+1)(x2−4x−21)\left(x+1\right)\left(x^2-4x-21\right)

a)

x3−3x2−25x−21x^3-3x^2-25x-21  

b)

x3+3x2+25x+21x^3+3x^2+25x+21  

c)

−x3−3x2−25x−21-x^3-3x^2-25x-21  

d)

x4−3x3−25x2−21xx^4-3x^3-25x^2-21x  

15.
(a+b)(a+b)
a)
a2 - b2
b)
a2 + b2
c)
a2 + ab + b2
d)
a2 + 2ab + b2