Question 201857
y= x^3 +4x^2 -3x -18,,,,factors p/q = +/- 1,18,2,9,3,6,  (factors 1st  and  last  term)
.
use  synthetic  division ( or  regular division) to  define  factors
.
,,,-3,,,,1,,,,4,,,,-3,,,,-18
.
,,,,,,,,,,,,,,-3,,,-3,,,,,+18
_______________________________
,,,,,,,,,1,,,,1,,,,-6,,,,0,,,,,,,,,therefore (x+3)  is  factor,,,x=-3  is  zero
,
remainder  is,,,,1x^2 +1x -6,,,,,,which  factors  to
.
( x+3)(x-2)
.
final  factors  are (x+3)(x+3)(x-2),,,,zeros  are  x= -3,-3,+2
.
check  by  multiplying  all  factors  together,,,ok
.
If  graphing  calc  is  available, input  eqn  and  review  graph.