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Classifying, Adding, Subtracting, and Multiplying Polynomials

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

(3x − 6)(7x + 7)

a)

21x2 − 63x + 42

b)

21x2 − 21x − 42

c)

21x2 − 42

d)

21x2 + 63x + 42

2.

Name the polynomial by its degree and term.

a)

cubic binomial

b)

quartic binomial

c)

quadratic binomial

d)

quadratic monomial

3.

Name the polynomial by its degree and term.

a)

quartic trinomial

b)

quadratic trinomial

c)

4th degree trinomial

d)

6th degree trinomial

4.

(x + 5)(x + 4)

a)

x2 + x + 20

b)

x2 + 20x + 9

c)

x2 + 9x + 20

d)

x2 - 9x + 54

5.

(4a + 2)(6a2 − a + 2)

a)

24a3 + 16a2 + 6a + 4

b)

24a3 + 8a2 + 10a + 4

c)

24a3 + 8a2 + 6a + 4

d)

24a3 - 8a2 - 6a + 4

6.

(4p − 1)(4p - 1)

a)

16p2 + 1

b)

16p2 − 1

c)

16p2 − 8p + 1

d)

16p2 + 8p + 1

7.

Classify the polynomial by degree and number of terms:

a)

Cubic Trinomial

b)

Cubic Binomial

c)

Quadratic Trinomial

d)

Quadratic Binomial

8.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

9.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

10.

Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)

a)

4x3 + 1x2 – 3x + 1

b)

2x3 + 1x2 - 5x + 9

c)

6x3 + 1x - 1x2 - 3

d)

3x5 +1x - 1x5 - 3x

11.

Add: (3x2 + 2x + 1) + (2x2 - 4x - 5) + (3x - 1)

a)

5x2 + 6x - 7

b)

8x2 - 3x - 5

c)

5x2 + x - 5

d)

6x2 + 8x + 5

12.

What is (3x2 + 2x - 6) - (2x2 - 3x + 1)

a)

x2 + 5x + 5

b)

x2 - 5x - 7

c)

x2 + 5x - 7

d)

x2 - 5x + 7

13.

Combine like terms:

8x3y + 3x2y + 4xy + 5x2y + 2xy + 7x2y

a)

8x3y + 8x2y + 2xy

b)

11x3y + 15x2y + 8xy

c)

8x3y + 15x2y + 6xy

d)

23x2y + 6xy