Hi

The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0

f(x) = x^2+7^x+12=0      |As Stated in the Question

factoring

 (x+4)(x+3) = 0  Note:SUM of the inner product(4x) and the outer product(3x) = 7x

 (x+4)=0

   x = -4

(x+3) = 0 

   x = -3

 Solution Set for x is: -4,-3 

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