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다항식의 연산

Total questions: 14

Worksheet time: 3mins

Name
Class
Date
1.
a)

(1) x3+x2y+2x3y2\left(1\right)\ x^3+x^2y+2x-3y^2 (2) 5y3+xy2y+2x21\left(2\right)\ 5y^3+xy^2-y+2x^2-1

b)

(1) x3+x2y+2x3y2\left(1\right)\ x^3+x^2y+2x-3y^2 (2) 2x2+xy2+5y3y1\left(2\right)\ 2x^2+xy^2+5y^3-y-1

c)

(1) x3+2x+x2y3y2\left(1\right)\ x^3+2x+x^2y-3y^2 (2) 5y3+xy2y+2x21\left(2\right)\ 5y^3+xy^2-y+2x^2-1

d)

(1) 3y2+x2y+x3+2x\left(1\right)\ -3y^2+x^2y+x^3+2x (2) 5y3+xy2y+2x21\left(2\right)\ 5y^3+xy^2-y+2x^2-1

2.
a)

(1) 8y311xy+6x2\left(1\right)\ 8y^3-11xy+6x^2 (2) 7x211xy+9y2\left(2\right)\ -7x^2-11xy+9y^2

b)

(1) 6x221xy+8y3\left(1\right)\ 6x^2-21xy+8y^3 (2) 7x219xy+9y2\left(2\right)\ -7x^2-19xy+9y^2

c)

(1) 6x211xy+8y3\left(1\right)\ 6x^2-11xy+8y^3 (2) 7x211xy+15y2\left(2\right)\ -7x^2-11xy+15y^2

d)

(1) 6x221xy+8y3\left(1\right)\ 6x^2-21xy+8y^3 (2) 9y211xy7x2\left(2\right)\ 9y^2-11xy-7x^2

3.

(3)과 (4) 의 올바른 답을 고르시오.

a)

(3) 8x3+1\left(3\right)\ 8x^3+1 (4) 27a3b3\left(4\right)\ 27a^3-b^3

b)

(3) 2x3+1\left(3\right)\ 2x^3+1 (4) 27a3b3\left(4\right)\ 27a^3-b^3

c)

(3) 8x3+1\left(3\right)\ 8x^3+1 (4) 9a3b3\left(4\right)\ 9a^3-b^3

d)

(3) 8x31\left(3\right)\ 8x^3-1 (4) 27a3b3\left(4\right)\ 27a^3-b^3

4.

Q 는 몫, R은 나머지라 할 때, (1)의 답을 고르시오.

a)

Q : 2x29x+18Q\ :\ 2x^2-9x+18 R : 33R\ :\ -33

b)

Q : 4x+10Q\ :\ 4x+10 R : 3x27R\ :\ 3x-27

c)

Q : 2x29xQ\ :\ 2x^2-9x R : 18x+3R\ :\ 18x+3

d)

Q : 2x29x+18Q\ :\ 2x^2-9x+18 R : 33R\ :\ 33

5.
a)

7x3+16x2+8x12-7x^3+16x^2+8x-12

b)

3x3+16x2+8x12-3x^3+16x^2+8x-12

c)

7x3+16x2+8x+12-7x^3+16x^2+8x+12

d)

7x3+16x28x12-7x^3+16x^2-8x-12

6.
a)

A : 2x3+3x+1A\ :\ 2x^3+3x+1 B : x33x2x2B\ :\ x^3-3x^2-x-2

b)

A : 2x3+3x+1A\ :\ 2x^3+3x+1 B : x33x2+x+2B\ :\ x^3-3x^2+x+2

c)

A : 2x3+3x1A\ :\ 2x^3+3x-1 B : x3+3x2x2B\ :\ x^3+3x^2-x-2

d)

A : 2x3+3x1A\ :\ 2x^3+3x-1 B : x33x2+x+2B\ :\ x^3-3x^2+x+2

7.
a)

(1) x63x4y2+3x2y4y6\left(1\right)\ x^6-3x^4y^2+3x^2y^4-y^6 (2) a3+b3+c33abc\left(2\right)\ a^3+b^3+c^3-3abc

b)

(1) x63x2y4+3x4y2y6\left(1\right)\ x^6-3x^2y^4+3x^4y^2-y^6 (2) a3+b3+c33abc\left(2\right)\ a^3+b^3+c^3-3abc

c)

(1) x63x4y2+3x2y4y6\left(1\right)\ x^6-3x^4y^2+3x^2y^4-y^6 (2) a3+b3+c3+3abc\left(2\right)\ a^3+b^3+c^3+3abc

d)

(1) x6+3x4y2+3x2y4+y6\left(1\right)\ x^6+3x^4y^2+3x^2y^4+y^6 (2) a3+b3+c3abc\left(2\right)\ a^3+b^3+c^3-abc

8.
a)

(1) 6\left(1\right)\ 6 (2) 6\left(2\right)\ -6 (3) 19\left(3\right)\ 19

b)

(1) 6\left(1\right)\ 6 (2) 6\left(2\right)\ -6 (3) 38\left(3\right)\ 38

c)

(1) 6\left(1\right)\ 6 (2) 6\left(2\right)\ 6 (3) 38\left(3\right)\ 38

d)

(1) 6\left(1\right)\ 6 (2) 6\left(2\right)\ 6 (3) 19\left(3\right)\ 19

9.
a)

-2

b)

1

c)

2

d)

0

10.

A=?

a)

A=x2x+2A=x^2-x+2

b)

A=x3x+2A=x^3-x+2

c)

A=x2x2A=x^2-x-2

d)

A=x2+x2A=x^2+x-2

11.
a)

2y2+3xyx2-2y^2+3xy-x^2

b)

x2+3xyy2-x^2+3xy-y^2

c)

2x2+3xyy2-2x^2+3xy-y^2

d)

x2+xy2y2-x^2+xy-2y^2

12.
a)

82

b)

14

c)

28

d)

20

13.
a)

7

b)

2x+32x+3

c)

3

d)

2x+72x+7

14.
a)

48

b)

12

c)

36

d)

24