SOLUTION: Find all real zeros of the function. {{{ f(x)=x^3+x^2-4x-4 }}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find all real zeros of the function. {{{ f(x)=x^3+x^2-4x-4 }}}      Log On


   

Question 626495: Find all real zeros of the function.
+f%28x%29=x%5E3%2Bx%5E2-4x-4+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:

Factor x%5E3%2Bx%5E2-4x-4 to get

x%5E3%2Bx%5E2-4x-4

%28x%5E3%2Bx%5E2%29%2B%28-4x-4%29

x%5E2%28x%2B1%29-4%28x%2B1%29

%28x%5E2-4%29%28x%2B1%29

%28x-2%29%28x%2B2%29%28x%2B1%29

So x%5E3%2Bx%5E2-4x-4 factors to %28x-2%29%28x%2B2%29%28x%2B1%29

Hopefully this will help you find the zeros. If not, let me know. Thanks.

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