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Math 11, Summaries of Calculus

University of Perpetual Help (UPH)Calculus

Long and Synthetic Division Worksheet. Divide. 1) (r. 2 + 6r + 15) ÷ (r + 5). 2) (r. 2 + 10r + 13) ÷ (r + 7). 3) (n. 3 − 5n. 2 − 33n − 37) ÷ (n − 9).

Typology: Summaries

2021/2022

Uploaded on 08/05/2022

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bg1
Name___________________________________
Period____Date________________
Long and Synthetic Division Worksheet
Divide.
1)
(
r
2 + 6
r
+ 15
)÷
(
r
+ 5
)2)
(
r
2 + 10
r
+ 13
)÷
(
r
+ 7
)
3)
(
n
3 − 5
n
2 − 33
n
− 37
)÷
(
n
− 9
)4)
(
x
3 + 6
x
2 − 30
x
+ 102
)÷
(
x
+ 10
)
5)
(
2
v
3 − 20
v
2 + 56
v
− 46
)÷
(
v
− 6
)6)
(
8
r
3 − 49
r
2 − 45
r
− 36
)÷
(
r
− 7
)
7)
(
m
3 − 20
)÷
(
m
− 3
)8)
(
2
k
3 − 13
k
2 − 77
k
+ 60
)÷
(
k
− 10
)
9)
(
5
x
3 + 11
x
2 + 26
x
+ 26
)÷
(
5
x
+ 6
)10)
(
−18
a
+ 3
a
3 + 9
+ 6
a
2
)÷
(
−3
+ 3
a
)
11)
(
10
r
3 + 50
r
2 − 60
)÷
(
10
r
− 10
)12)
(
9
a
3 + 60
a
2 − 18
a
− 40
)÷
(
9
a
+ 6
)
13)
(
3
r
3 + 11
r
2 − 6
r
− 18
)÷
(
r
+ 4
)14)
(
2
n
3 + 62
n
− 26
n
2 + 4
)÷
(
2
n
− 6
)
15)
(
26
− 43
k
− 83
k
2 + 9
k
3
)÷
(
7
+ 9
k
)16)
(
2
x
3 + 17
x
2 + 38
x
+ 15
)÷
(
5
+ 2
x
)
pf2

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Name___________________________________

Long and Synthetic Division Worksheet Date________________ Period____

Divide.

  1. ( r^2 + 6 r + 15 ) ÷ ( r + 5 ) 2) ( r^2 + 10 r + 13 ) ÷ ( r + 7 )

  2. ( n^3 − 5 n^2 − 33 n − 37 ) ÷ ( n − 9 ) 4) ( x^3 + 6 x^2 − 30 x + 102) ÷ ( x + 10 )

  3. (2 v^3 − 20 v^2 + 56 v − 46 ) ÷ ( v − 6 ) 6) (8 r^3 − 49 r^2 − 45 r − 36 ) ÷ ( r − 7 )

  4. ( m^3 − 20 ) ÷ ( m − 3 ) 8) (2 k^3 − 13 k^2 − 77 k + 60 ) ÷ ( k − 10 )

  5. (5 x^3 + 11 x^2 + 26 x + 26 ) ÷ (5 x + 6 ) 10) (−18 a + 3 a^3 + 9 + 6 a^2 ) ÷ (−3 + 3 a )

  6. (10 r^3 + 50 r^2 − 60 ) ÷ (10 r − 10 ) 12) (9 a^3 + 60 a^2 − 18 a − 40 ) ÷ (9 a + 6 )

  7. (3 r^3 + 11 r^2 − 6 r − 18 ) ÷ ( r + 4 ) 14) (2 n^3 + 62 n − 26 n^2 + 4 ) ÷ (2 n − 6 )

  8. (26 − 43 k − 83 k^2 + 9 k^3 ) ÷ (7 + 9 k ) 16) (2 x^3 + 17 x^2 + 38 x + 15 ) ÷ (5 + 2 x )

Name___________________________________

Long and Synthetic Division Worksheet Date________________ Period____

Divide.

  1. ( r^2 + 6 r + 15 ) ÷ ( r + 5 )

r + 1 + 10 r + 5

  1. ( r^2 + 10 r + 13 ) ÷ ( r + 7 ) r + 3 − 8 r + 7

  2. ( n^3 − 5 n^2 − 33 n − 37 ) ÷ ( n − 9 )

n^2 + 4 n + 3 − 10 n − 9

  1. ( x^3 + 6 x^2 − 30 x + 102) ÷ ( x + 10 )

x^2 − 4 x + 10 + 2 x + 10

  1. (2 v^3 − 20 v^2 + 56 v − 46 ) ÷ ( v − 6 )

2 v^2 − 8 v + 8 +

v − 6

  1. (8 r^3 − 49 r^2 − 45 r − 36 ) ÷ ( r − 7 )

8 r^2 + 7 r + 4 −

r − 7

  1. ( m^3 − 20 ) ÷ ( m − 3 )

m^2 + 3 m + 9 +

m − 3

  1. (2 k^3 − 13 k^2 − 77 k + 60 ) ÷ ( k − 10 )

2 k^2 + 7 k − 7 −

k − 10

  1. (5 x^3 + 11 x^2 + 26 x + 26 ) ÷ (5 x + 6 )

x^2 + x + 4 + 2 5 x + 6

  1. (−18 a + 3 a^3 + 9 + 6 a^2 ) ÷ (−3 + 3 a ) a^2 + 3 a − 3

  2. (10 r^3 + 50 r^2 − 60 ) ÷ (10 r − 10 )

r^2 + 6 r + 6

  1. (9 a^3 + 60 a^2 − 18 a − 40 ) ÷ (9 a + 6 )

a^2 + 6 a − 6 −

9 a + 6

  1. (3 r^3 + 11 r^2 − 6 r − 18 ) ÷ ( r + 4 )

3 r^2 − r − 2 − 10 r + 4

  1. (2 n^3 + 62 n − 26 n^2 + 4 ) ÷ (2 n − 6 )

n^2 − 10 n + 1 + 5 n − 3

  1. (26 − 43 k − 83 k^2 + 9 k^3 ) ÷ (7 + 9 k )

k^2 − 10 k + 3 + 5 7 + 9 k

  1. (2 x^3 + 17 x^2 + 38 x + 15 ) ÷ (5 + 2 x )

x^2 + 6 x + 4 − 5 5 + 2 x