`y= x^3 -x^2 -14x + 24 `
Let x= 2 ==> 8-4 -28 +24 = 0
Then (x-2) is a factor of y.
Now we will divide y by (x-2).
`x^2+x -12`
-----------------------
`x-2` `x^3 -x^2 -14x +24`
`x^3 -2x^2`
-------------------------
`x^2 -14x + 24`
`x^2 -2x `
---------------------
`-12x + 24`
`-12x + 24 `
`==> y= (x-2)(x^2+x-12)`
Now we will factor the quadratic equation.
`==> y= (x-2)(x+4)(x-3) `
Then, the zeros are:
x= { 2, 3, -4}