The equations \( x^{3}+5 x^{2}+p x+q=0 \) and \( x^{3}+7 x^{2}+p x+ \) \( r=0 \) have two roots ...

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The equations \( x^{3}+5 x^{2}+p x+q=0 \) and \( x^{3}+7 x^{2}+p x+ \) \( r=0 \) have two roots in common. If the third root of each equation is represented by \( x_{1} \) and \( x_{2} \), respectively, then the ordered pair \( \left(x_{1}, x_{2}\right) \) is
(A) \( (-5,-7) \)
(B) \( (1,-1) \)
(C) \( (-1,1) \)
(D) \( (5,7) \)
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