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Worksheets

Classifying, Adding, Subtracting, Multiplying Polynomial

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Classify by number of terms:
7x3 – 8x2 -4x+ 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

2.

Classify by number of terms:

-2x2 – x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

3.

Classify by number of terms:
9x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

4.

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

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

5.

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

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

6.

What is the standard form of the polynomial,
 9x2 + 5x + 27 + 2x3

a)

27 + 5x + 9x2 + 2x3

b)

9x2 + 5x + 2x3 + 27

c)

9x2 + 5x + 27 + 2x3

d)

2x3 + 9x2 + 5x + 27

7.

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

8.

3a(5a2 + 8a + 2)

a)

15a3 + 24a2 + 6a

b)

10a3 + 24a + 6

9.

5x(4x3 + 8)

a)

9x4 + 40x

b)

20x4 + 40x

10.

3x(2x2 + 9x + 6)

a)

6x3 + 27x2 + 18x

b)

6x3 + 18x2 + 9

11.

7y(5y2 + 2y + 3)

a)

35y3 + 14y2 + 21y

b)

12y3 + 14y2 + 21y

12.

Multiply, then combine like terms:
2x(3x+5)+3(3x+5)=2x\left(3x+5\right)+3\left(3x+5\right)=  

a)

6x2+13x+86x^2+13x+8  

b)

5x2+13x+85x^2+13x+8  

c)

18x+818x+8  

d)

6x2+19x+156x^2+19x+15  

13.

Multiply, then combine like terms:
x2(5x+3)+2x(4x−1)+3(−2x+4)=x^2\left(5x+3\right)+2x\left(4x-1\right)+3\left(-2x+4\right)=  

a)

5x3+11x2−8x+125x^3+11x^2-8x+12  

b)

5x3+11x4−8x2+125x^3+11x^4-8x^2+12  

c)

−5x3−11x2+8x−12-5x^3-11x^2+8x-12  

d)

5x2+11x+45x^2+11x+4  

14.

4k2(6k2 + 9kq - 5q2)

a)

24k2 + 36k3q - 20k2q2

b)

24k4 + 36kq - 20k2q2

c)

24k4 + 36k3q - 20k2q2

d)

24k + 36 kq - 20 k2q

15.

Multiply
(4x+3)(2x-1)

a)

8x2-2x-3

b)

8x-3

c)

8x2+6x-3

d)

8x2+2x-3