계산력 문제

정답

Ⅰ. 다항식

다항식의 연산

1. (1) [eqn: 4x ^{2} -4x-5]

(2) [eqn: -3x ^{2} -3x-8]

(3) [eqn: 3x ^{2} +10x-29]
(4) [eqn: 2x ^{3} +2x ^{2} -5x+1]

(5) [eqn: -3x ^{4} +x ^{3} +2x ^{2} -6x+8]

(6) [eqn: -x ^{4} +5x ^{3} -x ^{2} +3x+1]

2. (1) [eqn: -2x ^{2} +4]

(2) [eqn: 5x ^{2} -6x-13]

(3) [eqn: x ^{3} -2x ^{2} -4x+4]
(4) [eqn: x ^{3} -7x ^{2} +2x+17]

(5) [eqn: 3x ^{3} +2x ^{2} -12x-4]

(6) [eqn: 2x ^{3} +x ^{2} -14x-5]

3. (1) [eqn: x ^{3} -5x ^{2} +5x+2]

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

(3) [eqn: -6x ^{3} +11x ^{2} y-y ^{3}]
(4) [eqn: a ^{2} -b ^{2} +a+7b-12]

(5) [eqn: x ^{2} -4y ^{2} -4x+4y+3]

(6) [eqn: 2a ^{2} -2b ^{2} -3ab+a-7b-3]

4. (1) [eqn: x ^{2} +4y ^{2} +4z ^{2} -4xy-8yz+4zx]

(2) [eqn: 4a ^{2} +9b ^{2} +c ^{2} -12ab+6bc-4ca]

(3) [eqn: x ^{3} +9x ^{2} y+27xy ^{2} +27y ^{3}]
(4) [eqn: 8a ^{3} -12a ^{2} b+6ab ^{2} -b ^{3}]

(5) [eqn: x ^{3} -8]

(6) [eqn: 27a ^{3} +8b ^{3}]

5. (1) [eqn: 22]	(2) [eqn: 2 sqrt {2}]

(3) [eqn: 90]	(4) [eqn: 58 sqrt {2}]

6. (1) [eqn: 3]	(2) [eqn: 13]

(3) [eqn: 11]	(4) [eqn: 36]

7. (1) 몫: [eqn: x ^{2} -x-2], 나머지: [eqn: -3]

(2) 몫: [eqn: 2x ^{2} -4x+4], 나머지: [eqn: -5]

(3) 몫: [eqn: 2x ^{2} -2x+4], 나머지: [eqn: 1]
(4) 몫: [eqn: -2x ^{2} +1], 나머지: [eqn: -3]

(5) 몫: [eqn: x-3], 나머지: [eqn: -x+2]

(6) 몫: [eqn: -2x+1], 나머지: [eqn: 2x+3]

(7) 몫: [eqn: x ^{2} +5x+9], 나머지: [eqn: 8x-19]

(8) 몫: [eqn: -3x ^{2} -x-5], 나머지: [eqn: 11x+17]

8. (1) 몫: [eqn: x ^{2} +2], 나머지: [eqn: 3]

(2) 몫: [eqn: x ^{2} -3], 나머지: [eqn: 10]

(3) 몫: [eqn: 2x ^{2} -5x+5], 나머지: [eqn: -4]
(4) 몫: [eqn: -x ^{2} +2x+3], 나머지: [eqn: 9]

(5) 몫: [eqn: 3x ^{2} -2x-2], 나머지: [eqn: 8]

(6) 몫: [eqn: 2x ^{2} -2x], 나머지: [eqn: -3]