Polynomials \( f(x) \) and \( g(x) \) are defined as follows:
\[
f(x)=x^{2}+a x+2 ; g(x)=x^{2}+2... VIDEO
Polynomials \( f(x) \) and \( g(x) \) are defined as follows:
\[
f(x)=x^{2}+a x+2 ; g(x)=x^{2}+2 x+a \cdot(a \neq 2)
\]
If the equation \( f(x)=0 \) and \( g(x)=0 \) have a common root then the sum of the roots of the equation \( f(x)+g(x)=0 \) is.
(a) \( -\frac{1}{2} \)
(b) 0
(c) \( \frac{1}{2} \)
(d) 1
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