계산력 문제

정답

Ⅰ. 다항식

나머지 정리와 인수분해

1. (1) [eqn: a=0,~b= {1} over {2} ,~c=-1]

(2) [eqn: a=1,~b=-1,~c=0]

(3) [eqn: a=-1,~b=1,~c=3]
(4) [eqn: a=1,~b=4,~c=-1]

(5) [eqn: a=2,~b=-1,~c=-2]

(6) [eqn: a=2,~b=5,~c=-5]
(7) [eqn: a=-5,~b=5,~c=3]

(8) [eqn: a=0,~b=2,~c=-2]

2. (1) [eqn: -1]	(2) [eqn: -6]	(3) [eqn: 1]
(4) [eqn: -3]	(5) [eqn: 14]	(6) [eqn: -2]

3. (1) [eqn: -2]	(2) [eqn: -5]	(3) [eqn: 16]
(4) [eqn: -12]	(5) [eqn: 7]	(6) [eqn: 3]

4. (1) [eqn: LEFT ( 2a+b+3c RIGHT ) ^{2}]

(2) [eqn: LEFT ( x-2y-3z RIGHT ) ^{2}]

(3) [eqn: LEFT ( 2a+b RIGHT )^3]
(4) [eqn: LEFT ( 4x-y RIGHT )^3]

(5) [eqn: LEFT ( 2a+3b RIGHT ) LEFT ( 4a ^{2} -6ab+9b ^{2} RIGHT )]

(6) [eqn: LEFT ( 3x-4y RIGHT ) LEFT ( 9x ^{2} +12xy+16y ^{2} RIGHT )]

(7) [eqn: LEFT ( a+b+2c RIGHT ) LEFT ( a ^{2} +b ^{2} +4c ^{2} -ab-2bc-2ca RIGHT )]

(8) [eqn: LEFT ( 3x-y+z RIGHT ) LEFT ( 9x ^{2} +y ^{2} +z ^{2} +3xy+yz-3zx RIGHT )]

5. (1) [eqn: x ^{2} LEFT ( x+2 RIGHT ) LEFT ( x-2 RIGHT )]

(2) [eqn: a LEFT ( a-2 RIGHT ) LEFT ( a+1 RIGHT ) LEFT ( a-3 RIGHT )]

(3) [eqn: LEFT ( x-3 RIGHT ) LEFT ( x-2 RIGHT ) LEFT ( x+2 RIGHT ) LEFT ( x+3 RIGHT )]
(4) [eqn: LEFT ( a ^{2} +3ab+b ^{2} RIGHT ) LEFT ( a ^{2} -3ab+b ^{2} RIGHT )]

(5) [eqn: LEFT ( x-2y-3 RIGHT ) LEFT ( x+y+2 RIGHT )]

(6) [eqn: LEFT ( 2a-b-1 RIGHT ) LEFT ( a-b+1 RIGHT )]

(7) [eqn: LEFT ( x-1 RIGHT ) LEFT ( x+1 RIGHT ) LEFT ( x-4 RIGHT )]

(8) [eqn: LEFT ( x-1 RIGHT ) LEFT ( x-2 RIGHT ) LEFT ( x+1 RIGHT ) ^{2}]