Đáp án+Giải thích các bước giải:

`2x^5-3x^4+6x^3-8x^2+3`

`=2x^5-(2x^4+x^4)+(x^3+5x^3)-(5x^2+3x^2)+3`

`=2x^5-2x^4-x^4+x^3+5x^3-5x^2-3x^2+3`

`=(2x^5-2x^4)-(x^4-x^3)+(5x^3-5x^2)-(3x^2-3)`

`=2x^4(x-1)-x^3(x-1)+5x^2(x-1)-3(x^2-1)`

`=2x^4(x-1)-x^3(x-1)+5x^2(x-1)-3(x-1)(x+1)`

`=(x-1)[2x^4-x^3+5x^2-3(x+1)]`

`=(x-1)(2x^4-x^3+5x^2-3x-3)`

`=(x-1)(2x^4-2x^3+x^3-x^2+6x^2-6x+3x-3)`

`=(x-1)[(2x^4-2x^3)+(x^3-x^2)+(6x^2-6x)+(3x-3)]`

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

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

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

`=(x-1)^2(2x+1)(x^2+3)`