Factor the Polynomial Completely $- y z ^ { 7 } - y ^ { 7 } z$

Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
- $- y z ^ { 7 } - y ^ { 7 } z$

A) $- y z ( y - z ) \left( y ^ { 6 } + y z + z ^ { 6 } \right)$
B) $- y z ( y - z ) ( y - z )$
C) $- y z \left( y ^ { 6 } + z ^ { 6 } \right)$
D) $- y z ( y + z ) \left( y ^ { 6 } - y z + z ^ { 6 } \right)$

Correct Answer:

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