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Worksheets

Multiplying polynomials

Total questions: 15

Worksheet time: 27mins

Name
Class
Date
1.

Multiply

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

a)

8x2 - 2x - 3

b)

8x - 3

c)

8x2 + 6x - 3

d)

8x2 + 2x - 3

2.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
3.
Simplify the expression.
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
4.

(x - 7)2

a)

x2-49

b)

x2+49

c)

x2-14x+49

d)

x2-14x-49

5.

(x - 3)(x2 + 2x + 7)

a)

x3-x2+x-21

b)

x3+5x+13x-21

c)

x3-3x2+7x-21

d)

x2+2x-3

6.

Simplify:

5(3x + 2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

7.
Simplify:
2x (-2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
8.
Multiply.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
9.
Find the product.
(2y - 7)(3y + 5)
a)
y2 + 2y + 4
b)
6y2 -11y -35
c)
-35 -11y + 6y2
d)
2y2 -17y +30
10.

If the bases are the same, then you....

a)

Multiply the exponents

b)

Subtract the exponents

c)

Add the exponents

d)

Divide the exponents

11.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
12.

x20 . x10

a)

x30

b)

x200

c)

2x30

d)

x10

13.

Simplify
 7(3x2 +9x +5)7\left(3x^2\ +9x\ +5\right)  

a)

 21x2+63x +3521x^2+63x\ +35  

b)

 10x2+16x+1210x^2+16x+12  

c)

 84x3+3584x^3+35  

d)

 x3+119x^3+119  

14.

Simplify
 4x3(6x2+8xy−9y2)4x^3\left(6x^2+8xy-9y^2\right)  

a)

 24x5 +32x4y−36x3y224x^{5\ }+32x^4y-36x^3y^2  

b)

 12x5 +12x4y−5x3y212x^{5\ }+12x^4y-5x^3y^2  

c)

 24x5 +32xy4−36xy524x^{5\ }+32xy^4-36xy^5  

d)

 24x5 −4x7y224x^{5\ }-4x^7y^2  

15.

(m+5)(m2+4m−8)\left(m+5\right)\left(m^2+4m-8\right)  

a)

m3+4m2−8m+5m2+20m−40m^3+4m^2-8m+5m^2+20m-40  

b)

m2+40m+m3m^2+40m+m^3  

c)

m3+9m2+12m−40m^3+9m^2+12m-40