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Find all the real zeros of the polynomial

find all the real zeros of the polynomial
P(x)=x4-2x3-13x2-10x
If there is more than one zero write them separated by commas. Give EXACT answers. No decimals.
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1 Answer

x^4-2x^3-13x^2-10x
using synthetic division
 
             1       -2       -13       -10
  -2                 -2         8          10
             1       -4        -5            0
 
 
              1       -4       -5     
 
   -1                 -1        5
              1       -5        0
 
 
              1       -5
 
     5                 5
              1        0
 
solution: (x+2)(x+1)(x-5)x = x^4-2x^3-13x^2-10x
x= -2, x= -1, x= 5, x=0