证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除?

来源：学生作业帮助网编辑：六六作业网时间：2024/11/24 13:53:58

证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除?证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除?证明6x^5+11x^4+5x^3+5x^2-x-6能被

证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除?
证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除?

证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除?
6x^5+11x^4+5x^3+5x^2-x-6
=(6x^5+6x^4)+(5x^4+5x^3)+(5x^2-x-6)
=6x^4(x+1)+5x^3(x+1)+(5x-6)(x+1)
=(x+1)(6x^4+5x^3+5x-6)
=(x+1)[(6x^4-6)+(5x^3+5x)]
=(x+1)[6(x^2+1)(x^2-1)+5x(x^2+1)]
=(x+1)(x^2+1)(6x^2+5x-6)
因为(x+1)(x^2+1)(6x^2+5x-6)能被(x^2+1）整除,所以原式能被它整除.

*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X || 填九宫格帮帮忙.x x 6 x x 7 x x 98 x x x 3 x 1 x x 9 x x 6 x 5 x 3 x x x 3 x x x x 1 8x x x 9 x 1 x x x2 1 x x x x 6 x x x 6 x 7 x 3 x x 1 x x 9 x 2 x x x 47 x x 8 x x 5 x x (x+3x+5x...+2009x)-(2x+4x+6x+...+2010x) 求一个数独答案X X X 9 X X X 8 2 X 6 3 X X 1 4 X 99 X 8 X X X X X XX X X 6 7 X 3 X XX 4 6 X 5 X 2 9 XX X 7 X 2 3 X X XX X X X X X 7 X 17 X 4 3 X X 6 2 X6 3 X X X 7 X X X 证明6x^5+11x^4+5x^3+5x^2-x-6能被x^2+1整除? 1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12=97.8x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11+x^12=97.8 好多年没有用过过数学公式了想不起来怎么算了想知道 X值是多少 1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11=17.7这个方程怎么样求解? 3(x^4)^6-2(x^5×x^3)^3+x^11×x^13+x^20×x^3×x 难倒爱因斯坦的九宫格X 7 X | X 8 1 | X X X |X X X | X 4 X | 7 5 9 |X X 5 | 7 X 9 | X 1 4 |5 X X | X X 8 | 3 9 X |3 9 6 | 4 X 7 | X X 2 |X 8 7 | 9 X X | X X X |4 X X | 6 X 5 | X X X | X X 4 | X X 1 |2 X X | X X X | X X X | X 3 X | X X X |X 6 x+2x+3x+4x+5x+6x+7x+8x+9x=9x-8x-7x-6x-5x-4x-3x-2x-x.x等于多少? 3x·x-5x-122x·x·x-x·x-4x+3x·x·x-6x-5x·x+6x+64x·x+12x+7 证明(x+1)(X+3)(x+5)(x+7)+15=(X+8x)+22(x+8x)+120 如下9*9宫图如何填x x x 1 x x x 2 9x x 5 x x x x x 4x 6 8 x x x x x xx x x 7 x x 5 x xx 2 x x 6 x x 8 xx x 3 x x 9 x x xx x x x 5 x 1 6 x 4 x x x 3 x x x x 7 x x x x 2 x x x 设f(x)=x^5+2x^4+3x^3+4x²+5x+6,证明f(x)=0至少有一实根 1x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x+12x+13x+14x+15x=550必须用解方程解九宫格题目（X为未知数）9 X 2 X 7 X 8 X XX X 4 X X 9 X 6 X1 3 X 5 X X X X 24 X X 8 5 X X 1 XX 8 9 4 X 1 6 7 XX 1 X X 3 6 X X 88 X X X X 2 X 3 6X 5 X 6 X X 9 X XX X 7 X 4 X 2 X 1 2x+3x+4x+5x+x+6x+7x=100 x+2/x+1-x+4/x+3=x+6/x+5-x+8/x+7 x=?