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Adding+Subtracting Polynomials, Lecture notes of Algebra

Philippine School of Business Administration (PSBA)Algebra

Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 1 ... Adding and Subtracting Polynomials. Simplify each expression. 1) (5p. 2 − 3) + (2p.

Typology: Lecture notes

2021/2022

Uploaded on 08/01/2022

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
Adding and Subtracting Polynomials
Simplify each expression.
1)
(
5
p
2
− 3
)
+
(
2
p
2
− 3
p
3
)
2)
(
a
3
− 2
a
2
)
−
(
3
a
2
− 4
a
3
)
3)
(
4 + 2
n
3
)
+
(
5
n
3
+ 2
)
4)
(
4
n − 3
n
3
)
−
(
3
n
3
+ 4
n
)
5)
(
3
a
2
+ 1
)
−
(
4 + 2
a
2
)
6)
(
4
r
3
+ 3
r
4
)
−
(
r
4
− 5
r
3
)
7)
(
5
a + 4
)
−
(
5
a + 3
)
8)
(
3
x
4
− 3
x
)
−
(
3
x − 3
x
4
)
9)
(
−4
k
4
+ 14 + 3
k
2
)
+
(
−3
k
4
− 14
k
2
− 8
)
10)
(
3 − 6
n
5
− 8
n
4
)
−
(
−6
n
4
− 3
n − 8
n
5
)
11)
(
12
a
5
− 6
a − 10
a
3
)
−
(
10
a − 2
a
5
− 14
a
4
)
12)
(
8
n − 3
n
4
+ 10
n
2
)
−
(
3
n
2
+ 11
n
4
− 7
)
13)
(
−
x
4
+ 13
x
5
+ 6
x
3
)
+
(
6
x
3
+ 5
x
5
+ 7
x
4
)
14)
(
9
r
3
+ 5
r
2
+ 11
r
)
+
(
−2
r
3
+ 9
r − 8
r
2
)
15)
(
13
n
2
+ 11
n − 2
n
4
)
+
(
−13
n
2
− 3
n − 6
n
4
)
16)
(
−7
x
5
+ 14 − 2
x
)
+
(
10
x
4
+ 7
x + 5
x
5
)
-1-
pf3
pf4

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Download Adding+Subtracting Polynomials and more Lecture notes Algebra in PDF only on Docsity!

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Adding and Subtracting Polynomials Date________________ Period____

Simplify each expression.

1) ( 5 p^2 − 3) + ( 2 p^2 − 3 p^3 ) 2) ( a^3 − 2 a^2 ) − ( 3 a^2 − 4 a^3 )

  1. (4 + 2 n^3 ) + ( 5 n^3 + 2) 4) ( 4 n − 3 n^3 ) − ( 3 n^3 + 4 n )
  2. ( 3 a^2 + 1)^ − (4 + 2 a^2 )^ 6) ( 4 r^3 + 3 r^4 )^ − ( r^4 − 5 r^3 )
  3. ( 5 a + 4)^ − ( 5 a + 3)^ 8) ( 3 x^4 − 3 x )^ − ( 3 x − 3 x^4 )
  4. (−4 k^4 + 14 + 3 k^2 )^ + (−3 k^4 − 14 k^2 − 8)^ 10) (3 − 6 n^5 − 8 n^4 )^ − (−6 n^4 − 3 n − 8 n^5 )
  5. ( 12 a^5 − 6 a − 10 a^3 ) − ( 10 a − 2 a^5 − 14 a^4 ) 12) ( 8 n − 3 n^4 + 10 n^2 ) − ( 3 n^2 + 11 n^4 − 7)
  6. (− x^4 + 13 x^5 + 6 x^3 )^ + ( 6 x^3 + 5 x^5 + 7 x^4 )^ 14) ( 9 r^3 + 5 r^2 + 11 r )^ + (−2 r^3 + 9 r − 8 r^2 )
  7. ( 13 n^2 + 11 n − 2 n^4 )^ + (−13 n^2 − 3 n − 6 n^4 )^ 16) (−7 x^5 + 14 − 2 x )^ + ( 10 x^4 + 7 x + 5 x^5 )

-1-

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17) (7 − 13 x^3 − 11 x )^ − ( 2 x^3 + 8 − 4 x^5 )^ 18) ( 13 a^2 − 6 a^5 − 2 a )^ − (−10 a^2 − 11 a^5 + 9 a )

  1. ( 3 v^5 + 8 v^3 − 10 v^2 )^ − (−12 v^5 + 4 v^3 + 14 v^2 )^ 20) ( 8 b^3 − 6 + 3 b^4 )^ − ( b^4 − 7 b^3 − 3)
  2. ( k^4 − 3 − 3 k^3 )^ + (−5 k^4 + 6 k^3 − 8 k^5 )^ 22) (−10 k^2 + 7 k + 6 k^4 )^ + (−14 − 4 k^4 − 14 k )
  3. (−7 n^2 + 8 n − 4)^ − (−11 n + 2 − 14 n^2 )^ 24) ( 14 p^4 + 11 p^2 − 9 p^5 )^ − (−14 + 5 p^5 − 11 p^2 )
  4. ( 8 k + k^2 − 6) − (−10 k + 7 − 2 k^2 )
  5. (−9 v^2 − 8 u ) + (−2 uv − 2 u^2 + v^2 ) + (− v^2 + 4 uv )
  6. ( 4 x^2 + 7 x^3 y^2 ) − (−6 x^2 − 7 x^3 y^2 − 4 x ) − ( 10 x + 9 x^2 )
  7. (−5 u^3 v^4 + 9 u ) + (−5 u^3 v^4 − 8 u + 8 u^2 v^2 ) + (−8 u^4 v^2 + 8 u^3 v^4 )
  8. (−9 xy^3 − 9 x^4 y^3 ) + ( 3 xy^3 + 7 y^4 − 8 x^4 y^4 ) + ( 3 x^4 y^3 + 2 xy^3 )
  9. ( y^3 − 7 x^4 y^4 ) + (−10 x^4 y^3 + 6 y^3 + 4 x^4 y^4 ) − ( x^4 y^3 + 6 x^4 y^4 )

-2-

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17) (7 − 13 x^3 − 11 x )^ − ( 2 x^3 + 8 − 4 x^5 )

4 x^5 − 15 x^3 − 11 x − 1

18) ( 13 a^2 − 6 a^5 − 2 a )^ − (−10 a^2 − 11 a^5 + 9 a )

5 a^5 + 23 a^2 − 11 a

19) ( 3 v^5 + 8 v^3 − 10 v^2 )^ − (−12 v^5 + 4 v^3 + 14 v^2 )

15 v^5 + 4 v^3 − 24 v^2

20) ( 8 b^3 − 6 + 3 b^4 )^ − ( b^4 − 7 b^3 − 3)

2 b^4 + 15 b^3 − 3

21) ( k^4 − 3 − 3 k^3 )^ + (−5 k^4 + 6 k^3 − 8 k^5 )

−8 k^5 − 4 k^4 + 3 k^3 − 3

22) (−10 k^2 + 7 k + 6 k^4 )^ + (−14 − 4 k^4 − 14 k )

2 k^4 − 10 k^2 − 7 k − 14

23) (−7 n^2 + 8 n − 4)^ − (−11 n + 2 − 14 n^2 )

7 n^2 + 19 n − 6

24) ( 14 p^4 + 11 p^2 − 9 p^5 )^ − (−14 + 5 p^5 − 11 p^2 )

−14 p^5 + 14 p^4 + 22 p^2 + 14

25) ( 8 k + k^2 − 6) − (−10 k + 7 − 2 k^2 )

3 k^2 + 18 k − 13

26) (−9 v^2 − 8 u ) + (−2 uv − 2 u^2 + v^2 ) + (− v^2 + 4 uv )

−9 v^2 + 2 uv − 2 u^2 − 8 u

27) ( 4 x^2 + 7 x^3 y^2 ) − (−6 x^2 − 7 x^3 y^2 − 4 x ) − ( 10 x + 9 x^2 )

14 x^3 y^2 + x^2 − 6 x

28) (−5 u^3 v^4 + 9 u ) + (−5 u^3 v^4 − 8 u + 8 u^2 v^2 ) + (−8 u^4 v^2 + 8 u^3 v^4 )

−2 u^3 v^4 − 8 u^4 v^2 + 8 u^2 v^2 + u

29) (−9 xy^3 − 9 x^4 y^3 ) + ( 3 xy^3 + 7 y^4 − 8 x^4 y^4 ) + ( 3 x^4 y^3 + 2 xy^3 )

−8 x^4 y^4 − 6 x^4 y^3 + 7 y^4 − 4 xy^3

30) ( y^3 − 7 x^4 y^4 ) + (−10 x^4 y^3 + 6 y^3 + 4 x^4 y^4 ) − ( x^4 y^3 + 6 x^4 y^4 )

−9 x^4 y^4 − 11 x^4 y^3 + 7 y^3 -2- Create your own worksheets like this one with (^) Infinite Algebra 1. Free trial available at KutaSoftware.com