SOLUTION: For the polynomial below, -2 is a zero. h(x)=x^3+8x^2+14x+4 Find the other zeros.

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Question 1099422: For the polynomial below, -2 is a zero. h(x)=x^3+8x^2+14x+4
Find the other zeros.
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
h(x) divided by (x+2) gives a quadratic polynomial and you can then find those zeros. (Two irrational zeros)
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
h(x)=x³+8x²+14x+4

Since -2 is a zero we can form this synthetic division
and get 0 remainder

-2|1  8  14  4
  |  -2 -12 -4
   1  6   2  0

And that means that h(x) factors this way

h(x) = (x+2)(x²+6x+2)

       x+2 = 0;      x²+6x+2 = 0
         x = -2;            
                           
                              
                           
                           
                           
                             

The other zeros are  and  . 
          
Edwin
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