因式分解:x^3-6x^2 15x-14-搜答案-智慧作业帮

x^6+2x^3+1=(x^3+1)^2=[(x+1)(x^2-x+1)]^2

3x-7x-6=(3x+2)(x-3)

x^4-6x^3+9x^2-16=x^2(x^2-6x+9)-16=x^2(x-3)^2-16=[x(x-3)+4][x(x-3)-4]=(x^2-3x+4)(x^2-3x-4)=(x^2-3x+4)

(x^2+2)(x^2+3x-2)

3x^2(x-y)+6x(y-x)=3x^2(x-y)-6x(x-y)=(x-y)(3x^2-6x)=3x(x-y)(x-2)

因式分解 (x+1)(x-3)

(x+1)(x-3)=x²-3x+x-3=x²-2x-3

(x-3)(x+2)+6x=x^2-x-6+6x=x^2+5x-6=(x-1)(x+6)

3x^3+6x^2+4x+8=3x^2(x+2)+4(x+2)=(x+2)(3x^2+4)

因式分解3x^2-11x+6

(3x-2)(x-3)

因式分解2x³+x²-6x-3=2x(x^2-3)+(x^2-3)=(x^2-3)(2x+1)=（x+√3)(x-√3)(2x+1).

x^9+x^6+x^3-3=(x^9-1)+(x^6-1)+(x^3-1)=(x³-1))(x^6+x³+1)+(x³-1)(x³+1)+(x³-1)

-6x^2-x-9x^3=-x(1+6x+9x^2)=-x(3x+1)^2

x^3+3x^2-6x-18＝x^2(x+3)-6(x+3)=(x^2-6)(x+3)

x^3-3x^2-6x+8=x^3-4x^2+x^2-6x+8=x^2(x-4)+(x-4)(x-2)=(x-4)(x^2+x-2)=(x-4)(x+2)(x-1)再问：你的题目抄错了再答：x

x平方-x-6=(x-3)(x+2)

7x^3-6x^2-7x+6=(7x^3-6x^2)-(7x-6)=x^2(7x-6)-(7x-6)=(7x-6)(x^2-1)=(7x-6)(x+1)(x-1)

6x(x-y)^2+3(y-x)^3=6x(x-y)^2-3(x-y)^3=3(x-y)^2[2x-(x-y)]=3(x-y)^2(x+y)

X^2-3X+6 (因式分解)

x²-3x+6△=(-3)²-4*6=9-24=-15

x^9+x^6+x^3+3=x^6(x^3+1)+(x^3+1)+2=(x^6+1)(x^3+1)+2望采纳!

(x^3+6x^2+11x+6)=(x^3+3x^2)+(3x^2+11x+6)=x^2(x+3)+(x+3)(3x+2)=(x+3)(x^2+3x+2)=(x+3)(x+2)(x+1)