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Worksheets

1-30 E-Learning Polynomials

Total questions: 20

Worksheet time: 21mins

Name
Class
Date
1.
Classify by number of terms:
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
2.
Classify by degree of polynomial:
3x2 – 8x + 1
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
3.
Classify by number of terms:
12
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
4.
a)
-35y6
b)
-35y5
c)
-2y6
d)
-2y5
5.

Which of the following expressions are in standard form? Select all that apply.

a)

14a5 - 8a4 + 7a2 - 11 + 5a3

b)

x2 + 5x - 24

c)

4n7 -11n3 + 22n

d)

7y2 + 13y3 - 16y

6.

Classify the following expression by terms and degrees. Select all that apply.


4x3 - 16x2 + 8

a)

Quadratic

b)

Monomial

c)

Trinomial

d)

Binomial

e)

Cubic

7.

Classify the following expression by terms and degrees. Select all that apply.


14x2 - 28x - 7

a)

Trinomial

b)

Cubic

c)

Linear

d)

Quadratic

e)

Binomial

8.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
9.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x+ 2x - 2
c)
5x2
d)
5x2 + 6x + 8
10.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7 
b)
5a3 - 4a2 - 14a - 7 
c)
5a3 - 4a2 - 20a - 7 
d)
5a3 - 9a2 - 20a - 7
11.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
12.

Classify this polynomial by number of terms:

4x5 - 3x3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

13.

Classify this polynomial by its degree: 17x + 4

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

14.

Find the sum.

(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)

a)

4x3 + 1x2 – 3x + 1

b)

4x3 + 1x2 - 5x + 1

c)

3x3 + 1x2 - 3x + 1

d)

3x6+1x4 - 3x2 + 1

15.
What are the coefficients?
-9w3 + 6w2
a)
-9, 3
b)
-9, 6
c)
6, 2
16.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
17.
a)
12x4 + 12x2 + 25
b)
4x2+x
c)
5x2 + 2x
d)
-4x2 + 7x -10
18.

(x2 + 3x - 9) - (x2 +2x - 8)

a)

5x - 17

b)

2x2 + 5x - 17

c)

2x2 + x - 1

d)

x - 1

19.

Select two polynomials whose difference is 6x + 3

a)

(8x + 7) - (-2x - 4)

b)

(8x + 5) - (2x + 2)

c)

(9x + 8) - (3x + 5)

d)

(12x -5) - (6x + 2)

20.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4