x^4-5x^3-7x^2+15x-4因式分解

因式分解：12X^5-7X^4+19X^3-20X^2+11X-15先看出x=1是它的一个根,由因式定理它有因式x-1所以12X^5-7X^4+19X^3-20X^2+11X-15=(x-1)(12x^4+5x^3+24x^2+4x+15)

因式分解：12X^5-7X^4+19X^3-20X^2+11X-1512x5-7x4+19x3-20x2+11x-15=12(x5-x4)+5(x4-x3)+24(x3-x2)+4(x2-x)+15(x-1)=(x-1)(12x4+5x3+

(x+1)(x+3)(x+5)(x+7)+15因式分解答案为(x+2)(x+6)(x+4-根号6)(x+4+根号6）,(x+1)(x+3)(x+5)(x+7)+15=(x+1)(x+7)(x+3)(x+5)+15=(x^2+8x+7)(x^

因式分解x^8+x^7+x^6+x^5+x^4+x^3+x^2+x=?原式=x^5(x^3+x^2+x+1)+x(x^3+x^2+x+1)=x(x^4+1)(x^3+x^2+x+1)=x(x^4+1)[x^2(x+1)+(x+1)]=x(x

因式分解x^3+5x^2-4x^3+5x^2-4=x^3+1+5x^2-5=(x+1)(x^2-x+1)+5(x+1)(x-1)=(x+1)(x^2+4x+6)

x^3+4x^2-5因式分解x^3+4x^2-5=x^3-x^2+5x^2-5=x^2(x-1)+5(x^2-1)=x^2(x-1)+5(x-1)(x+1)=(x-1)(x^2+5x+5)在有理范围内不能再分

3x^5+2x^4-15x^3-10x^3+12x+8因式分解

(x^2+5x+9)(x^2-3x+7)-3(4x+1)因式分解楼主注意下：题目应该是；﹙x²＋5x＋9﹚﹙x²－3x＋7﹚－3﹙4x＋1﹚²﹙x²＋5x＋9﹚﹙x²－3x＋7﹚－3﹙4x＋

2x^5+7x^4+12x^3+14x^2+10x+3因式分解2x^5+7x⁴+12x³+14x²+10x+3=2x^5+2x⁴+5x^4+5x³+7x³+7x²+7

因式分解x=√2时求X^2+7X+4/X^3-X^2-6X+X^2+6X+5/X^2-2X-3的值(X²+7X+4)/(X³-X²-6X)+(X²+6X+5)/(X²-2X-3)=(x

因式分解：（x^5+x^4+x^3+x^2+x+1)^2-x^5(x^5+x^4+x^3+x^2+x+1)^2-x^5=(x^6-1)^2/(x-1)^2-x^5=[x^12-2x^6+1-x^7+2x^6-x^5]/(x-1)^2=[(x

几道因式分解.x方-2x-3x方+7x-18x方-3x-4x方+5x-6x方-13x+362x方+3x+1依次为：(x-3)(x+1)；(x+9)(x-2)；(x-4)(x+1)；(x+6)(x-1)；(x-4)(x-9)；(2x+1)(x

(X+1)(X+2)(X+3)(X+4)+X(X+5)如何因式分解?(X+1)(X+2)(X+3)(X+4)+X(X+5)=[(X+1)(X+4)][(X+2)(X+3)]+X(X+5)=(X^2+5X+6)(X^2+5X+4)+(X^2+

因式分解(x+1)(x+2)(x+3)(x+4)+x(x+5)=(x+1)(x+4)(x+2)(x+3)+x(x+5)=(x^2+5x+4)(x^2+5x+6)+x^2+5x=(x^2+5x+4)^2+2(x^2+5x+4)+x^2+5x+

因式分解2x^3-7x^2+4x+4=（x-2）（2x^2-3x-2)=（x-2）（x-2）（2x+1）=（2x+1）（x-2）^2

x^3-4x^2-4x-5(因式分解）x^3-4x^2-4x-5=(x^3-4x^2-5x)+(x-5)=x(x^2-4x-5)+(x-5)=x(x-5)(x+1)+(x-5)=(x-5)[x(x+1)+1]=(x-5)(x^2+x+1).

x^4-6x^3+x^2+7因式分解x^4-6x^3+x^2+7=x^4-7x^3+7x^2+x^3-7x^2+7x+x^2-7x+7=x^2(x^2-7x+7)+x(x^2-7x+7)+(x^2-7x+7)=(x^2-7x+7)(x^2+

因式分解x^4-6x^3+x^2+7x^4-6x^3十x^2十7=x^4-2x^3十x^2-4x^3十4十3=x^2(x-1)^2-4(x-1)(x^2十x十1)十3=(x-1)(x^3-5x^2-4x-4)十3

因式分解4x^3-8x^2+5x-1原式=4x³-4x²-(4x²-5x+1)=4x²(x-1)-(4x-1)((x-1)=(x-1)(4x²-4x+1)=(x-1)(2x-1)²

4次方因式分解x^4-x^3+5x^2+x+1.如何因式分解x^4-x^3+5x^2+x+1=x^2(x^2+5)-x(x+1)(x-1)+1出错了，令其为零，无解，故不能因式分解