SOLUTION: Solve. (x+16)(x-10)(x+7)>0

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Question 578005: Solve.
(x+16)(x-10)(x+7)>0

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Each of the factors has a zero. Each factor is equal to zero for that x value; it's positive for greater x values and negative for lesser x values.
The zeros, where one factor is zero, and therefore the whole product expression is zero are:
x=-16, x=-7, and x=10
For x%3E10, all 3 factors and the product are positive %28x%2B16%29%28x-10%29%28x%2B7%29%3E0
As we move across each zero, one of the factors changes sign, and so does the product.
For -7%3Cx%3C10, %28x%2B16%29%28x-10%29%28x%2B7%29%3C0
For -16%3Cx%3C-7, %28x%2B16%29%28x-10%29%28x%2B7%29%3E0
For x%3C-16, %28x%2B16%29%28x-10%29%28x%2B7%29%3C0
So the solutions are highlight%28x%3E10%29 and highlight%28-16%3Cx%3C-7%29.