`x^3 - 7x+6`
`=x^3 - x - 6x + 6`
`=x(x^2 - 1) - 6 ( x -1 )`
`=x ( x - 1)(x + 1) - 6 ( x - 1)`
`=(x - 1)[x(x + 1) - 6]`
`=(x - 1)(x^2 + x - 6)`
`=(x - 1)(x^2 - 2x + 3x - 6)`
`=(x- 1)(x - 2)(x + 3) `
`x^3 + 5x^2 + 8x + 4`
`=x^3 + 2x^2 + 3x^2 + 6x + 2x + 4`
`=x^2(x + 2) + 3x ( x + 2) + 2 ( x + 2)`
`=(x + 2)(x^2 + 3x + 2)`
`=(x + 2)(x^2 + x + 2x + 2)`
`=(X + 2) [x ( x + 1) + 2(x + 1)]`
`=(x + 2)(x + 1)(x + 2)`
`=(x + 2)^2 . (x + 1)`
`x^3 - 9x^2 + 6x16`
`=x^3 - 9x^2 + 96x`
`=x ( x^2 - 9x + 96)`
`x ³- x ²- x - 2`
`=x^3 - 2x^2 + x^2 - 2x + x - 2`
`=x^2 ( x - 2) + x ( x - 2) + ( x - 2)`
`=(x - 2)(x^2 + x + 1)`
`x^3 + x^2 - x + 2`
`=x^3 + 2x^2 - x^2 - 2x + x + 2`
`=x^2 ( x + 2) - x (x + 2) + (x + 2)`
`= (x + 2)(x^2 - x + 1)`
`x ³-6x ²-+30`
