WorksheetsDividing Polynomials
Total questions: 28
Worksheet time: 2hrs 11mins
Name
Class
Date
1.
a)
x - 7
b)
x2 - 7
c)
x + 7
d)
x2 + 3x - 54
2.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
3.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
4.
a)
5w 2 − 4w + 3
b)
12w 2 − 9w + 6
c)
12w 2 − 12w + 9
d)
5w 2 − 12w+ 9
5.
Divide:
(9x2 + 6x) ÷ 3x
(9x2 + 6x) ÷ 3x
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
6.
a)
2x - 4
b)
x - 8
c)
x - 5
d)
x + 5
7.
The area of a rectangular pool table is: x2 + 14x +40.
The length is x+4. What is the width?
The length is x+4. What is the width?
a)
(x + 8)
b)
(x + 14)
c)
(x + 10)
d)
(x +4)
8.
a)
x + 7
b)
x + 30
c)
x2 + 7
d)
x2 + 30
9.
What is the width of this rectangle?
a)
5x4 + 10x3
b)
x + 15x3
c)
x + 3
d)
x4 + 3x3
10.
(4x2 - 24x+35)
÷ (2x - 5)
÷ (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
11.
Divide (6x2+12x) by 3x
a)
2x+4
b)
2+6/3x
c)
2+4/x
d)
3+6/2x
12.
(50x2 + 110x +30) ÷ (5x + 9)
a)
10x + 4
b)
110x - 6 R(6)
c)
10x + 4 -6/(5x +9)
d)
10x2 - 4 R(-6)
13.
(6b2 - 5b- 52) ÷ (3b - 10)
a)
2b - 5 +2/(3b - 10)
b)
2b + 5 R(-2)
c)
18b -15 R(3)
d)
-2b +15 +2/(3b - 10)
14.
What is the quotient when (10n2 - 37n - 12) is divided by (n - 4)?
a)
(10n - 3)
b)
(3n - 10)
c)
(10n + 3)
d)
(3n + 10)
15.
Solve: p2 + 15p + 63) ÷ (p +7)
a)
(p + 8) + 7/(p +7)
b)
(p - 7) R(-7)
c)
(p + 8)
d)
(p - 8) R(7/p+7)
16.
a)
2x - 5
b)
x - 4 + (3/4x - 5)
c)
2x + 4 + (3/4x - 5)
d)
2x + 4
17.
Divide (27x3+9x2-3x-10) by (3x-2)
a)
9x4+5
b)
9x2+9x+5
c)
9x2-9x+5
d)
9x2-9x
18.
Divide (x3+3x2-4x-12) by (x2+x-6)
a)
x-2
b)
x5+6
c)
x+2
d)
x2+2
19.
Divide (x2 + 5x - 8) by (x + 3). What is the remainder?
a)
16
b)
12
c)
-14
d)
-16
20.
(2x3 - 5x2 + 3x + 7)/ (x - 2)
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
21.
Find the quotient when (21x2 - 52x + 32) is divided by (7x - 8).
a)
(3x + 4)
b)
(3x + 3)
c)
(3x - 4)
d)
(3x + 2)
22.
Simplify: (18a2 + 77a - 24) ÷ (9a - 2)
a)
2a2 + 9
b)
2a - 9 + 6/(9a - 2)
c)
2a - 9
d)
2a + 9 -6/(9a - 2)
23.
(n2 + 16n + 69) ÷ (n + 6), what is the remainder?
a)
10
b)
9
c)
-10
d)
-9
24.
What is the quotient when 9v2 + 33v + 22 is divided by 3v + 6?
a)
3v + 5 -8/(3v + 6)
b)
3v - 6
c)
3v + 5 + 8/(3v + 6)
d)
3v + 6 R(8)
25.
a)
Quotient: 2x - 3, Remainder: 15
b)
Quotient: 2x - 3, Remainder: 9
c)
Quotient: 2x - 5/3, Remainder 0
d)
Quotient: 2x2 - 3x + 15, Remainder 0
26.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
27.
Divide (4x³-2x²-3) by (2x²-1).
a)
2x-1 +(2x-4)/(2x2-1)
b)
2x+3 +(x-3)/(2x2-1)
c)
2x-1
d)
2x+3 +(3x-5)/(2x2-1)
28.
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x3 - 5x2 + 2x - 10
p(x) = x3 - 5x2 + 2x - 10
a)
0
b)
2x-10
c)
-2x-10
d)
2x+10
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