If \( f(x)=a x^{2}+b x+c, g(x)=-a x^{2}+b x+c \) where \( a c \neq 0 \), then \( f(x) g(x)=0 \) ...

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If \( f(x)=a x^{2}+b x+c, g(x)=-a x^{2}+b x+c \) where \( a c \neq 0 \), then \( f(x) g(x)=0 \) has
(A) at least two real roots
(B) two real roots and two imaginary roots
(C) at least three real roots
(D) no real roots
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