If the polynomials f(x)=x^2+6 x+p and g(x)= x^2+7 x+q have a common factor, then which of the fol...

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If the polynomials f(x)=x^2+6 x+p and g(x)= x^2+7 x+q have a common factor, then which of the following is true?
(a) p^2+q^2+2q+6 p-7 q=0
(b) p^2+q^2-2 p q+7 p-6 q=0
(c) p^2+q^2-2 p q+6 p-7 q=0
(d) p^2+q^2+2 p q+7 p-6 q=0

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