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Worksheets

Dividing Polynomials

Total questions: 15

Worksheet time: 53mins

Name
Class
Date
1.

Divide:
 (9x2+6x)÷3x\left(9x^2+6x\right)\div3x  

a)

3x + 2

b)

3x2 + 2x

c)

5x2

d)

3x + 6

2.

 15w212w+93\frac{15w^2-12w+9}{3}  

a)

  5w24w+35w^2-4w+3  

b)

  12w29w+612w^2-9w+6  

c)

  12w212w+912w^2-12w+9  

d)

  5w212w+95w^2-12w+9  

3.

Divide:
 40y1410y8\frac{40y^{14}}{10y^8}  

a)

4y6

b)

4y22

c)

30y6

d)

30y22

4.

 (15x940x6)÷5x3\left(15x^9-40x^6\right)\div5x^3  

a)

15x9 - 8x3

b)

3x6 - 8x3

c)

-5x12

d)

3x6 - 40x3

5.

 8x88x228x4x\frac{8x^8-8x^2-28x}{4x} 

a)

2x8-8x2-28x

b)

2x8-2x2-7x

c)

8x7-8x-28x

d)

2x-2x -7

6.

 9x3y2+15x2y6x23x2\frac{9x^3y^2+15x^2y-6x^2}{3x^2}  

a)

 3xy2+5y23xy^2+5y-2  

b)

 3xy2+5y+23xy^2+5y+2 

c)

 3xy+5y23xy+5y-2 

d)

 3xy+5y+23xy+5y+2 

7.

Divide the polynomial 8x34x2+12x8x^3-4x^2+12x  by the monomial 2x2x  .

a)

 4x2+2x4x^2+2x  

b)

 4x22x +64x^2-2x\ +6  

c)

 4x22 +64x^2-2\ +6  

d)

 4x2+6x4x-2+6x  

8.

(5x335x2+25x)5x\frac{\left(5x^3-35x^2+25x\right)}{5x}

a)

x27x+5x^2-7x+5

b)

x7xx-7-x

c)

5x75x-7

d)

x7x-7

9.

 14a6b349a5b97a4b\frac{14a^6b^3-49a^5b^9}{-7a^4b}  

a)

 2a2b2+7ab82a^2b^2+7ab^8  

b)

 2a2b27ab8-2a^2b^2-7ab^8  

c)

 2a2b27ab82a^2b^2-7ab^8  

d)

 2a2b2+7ab8-2a^2b^2+7ab^8  

10.

The area of a rectangular pool is: 8x3+16x224x8x^3+16x^2-24x   
If the length of the pool is 4x4x , what is the width of the pool?

a)

 2x+462x+4-6  

b)

 2x24x+62x^2-4x+6  

c)

 2x2+4x62x^2+4x-6  

d)

 8x3+16x220x8x^3+16x^2-20x  

11.

The polynomial:  54y3+24y54y^3+24y  represents the surface area of a cube.  Which polynomial represents the area of each face?

a)

 54y2+2454y^2+24  

b)

 26y3+12y26y^3+12y  

c)

 13.5y3+6y13.5y^3+6y  

d)

 9y3+4y9y^3+4y  

12.

The perimeter of a square can be shown by the expression: 40x532x3+4x840x^5-32x^3+4x-8  
What is the length of each side of the square?

a)

 10x48x2+x+210x^4-8x^2+x+2  

b)

 10x58x3+x210x^5-8x^3+x-2  

c)

 36x528x3436x^5-28x^3-4  

d)

 10x5+8x3x+210x^5+8x^3-x+2  

13.

 (21a2b14a2)÷7a2\left(21a^2b-14a^2\right)\div7a^2  

a)

 3b+23b+2  

b)

 3ab2a3ab-2a  

c)

 3ab23ab-2  

d)

 3b23b-2  

14.

 (36st29st)÷9st\left(36st^2-9st\right)\div9st  

a)

 4t14t-1  

b)

 4st21st4st^2-1st  

c)

 44  

d)

 4s1t4s-1t  

15.

 (8x+8y8)÷8\left(8x+8y-8\right)\div8  

a)

 11  

b)

 x+y1x+y-1  

c)

 x+yx+y  

d)

 2xy12xy-1