SOLUTION: One factor of x^3+4x^2-11x-30 is x+2. Find the remaining factors.

Algebra ->  Square-cubic-other-roots -> SOLUTION: One factor of x^3+4x^2-11x-30 is x+2. Find the remaining factors.      Log On


   

Question 428261: One factor of x^3+4x^2-11x-30 is x+2. Find the remaining factors.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:Divide the polynomial by x+2 :
%28x%5E3%2B4x%5E2-11x-30%29%2F%28x%2B2%29=x%5E2%2B2x-15
Since,x%5E2%2B2x-15=%28x%2B5%29%28x-3%29, we have:
+x%5E3%2B4x%5E2-11x-30=%28x%2B2%29%28x%2B5%29%28x-3%29
Done.