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Worksheets

Some Operations with Polynomials

Total questions: 21

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

Add

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

2.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
3.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
4.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
5.

Subtract

(x3-x2+4) - (3x3-2x2+3)

a)

-2x3-3x2+7

b)

-2x3+x2+1

c)

2x3-3x3-1

d)

4x3-3x2+7

6.

Subtract

(4x2+ x) - (x2+ 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

7.
What is the name of the following polynomial?
x2+ 4x - 3
a)
Linear Trinomial
b)
Quadratic Trinomial
c)
Linear Binomial
d)
Quadratic Binomial
8.
What is the name of the following expression?
-8
a)
Constant Monomial
b)
8th degree Monomial
c)
Constant Quadratic
d)
Constant Cubic
9.

What is the name of the following expression?

-3x2 + 11x3

a)

Quadratic Trinomial

b)

Cubic Trinomial

c)

Cubic Binomial

d)

Cubic Trinomial

10.
What is the the standard form for the following expression?
-6x + 4x2 - 13
a)
-13 - 6x + 4x2
b)
4x2-6x - 13
c)
-13 + 4x2 - 6x
d)
4x2 - 13 - 6x
11.

Multiply (FOIL)

(4x+1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2

12.

Multiply.

-3x2( 7x2 - x + 4)

a)

-21x4 + 3x3 -12x2

b)

7x2 - x + 4 (-3x2)

c)

21x4 + 3x3 + 12x2

d)

-12x2 + 3x3 -21x4

13.
Classify by degree and number of terms
a)
Linear Monomial
b)
Linear Binomial
c)
QuadracticTrinomial
d)
Cubic Polynomial
14.

Multiply.

2n(n2 + 3n + 4)

a)

2n3 + 6n2 + 8n

b)

2n3 + 3n + 4

c)

2n3 + 6n + 8

d)

n2 + 5n + 4

15.

Multiply (FOIL)

(5h - 3)(3h+7)

a)

15h2-44h+21

b)

15h2-26h+21

c)

15h2+44h-21

d)

15h2+26h-21

16.

Multiply

a)

-4x - 3

b)

x2 - 3

c)

-4x2 - 6x

d)

-4x - 6

17.

Factor out the GCF


3x3 + 9x

a)

3x (x2 + 3)

b)

3x ( x3 + 9)

c)

x (3x2 + 9)

d)

3x (x3 + 3x)

18.

Factor out the GCF


18x3 + 81x - 27

a)

9x (2x2 + 9x - 3)

b)

3 (6x3 + 27x - 9)

c)

9 (2x3 + 9x - 3)

d)

9 (2x2 + 9x - 3)

19.

Factor out the GCF:

24x2 - 6x

a)

6x (x - 1)

b)

6x(4x - 1)

c)

4(6x - 1)

d)

6x( 4x - x)

20.

Factor out the GCF

63+45p

a)

9(7+5p)

b)

5(9 +7p)

c)

9p(7 + 5p)

d)

7(9+ 5p)

21.

Factor out the GCF

80x5-70x2-60x7

a)

2x2(80x3-70-60x6)

b)

10x2(80x4-70x-60x6)

c)

10x2(8x3-7-6x6)

d)

3x2(80x3-40-60x5)