SOLUTION: one factor of x^3 + 2x^3 - 11x - 12 is x + 4. Find the remaining factors.

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Question 287848: one factor of x^3 + 2x^3 - 11x - 12 is x + 4. Find the remaining factors.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
one factor of x%5E3+%2B+2x%5E3+-+11x+-+12 is x+%2B+4.
Find the remaining factors.


Since x + 4 is a factor, then x = -4 is a zero.  Use synthetic
division with -4

 -4 |  1  2 -11 -12
    |    -4   8  12
       1 -2  -3   0

So we have factored the polynomial as

%28x%2B4%29%28x%5E2-2x-3%29

Now we factor the trinomial:


%28x%2B4%29%28x-3%29%28x%2B1%29  

Edwin