Find the Zeros of the Polynomial Function Below $P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 15 x + 7$

Multiple Choice

Find the zeros of the polynomial function below. If a zero is a multiple zero, state its multiplicity. $P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 15 x + 7$

A) $7,$ $- 1 - \sqrt { 2 },$ $- 1 + \sqrt { 2 }$
B) $7,$ $1 - \sqrt { 2 },$ $1 + \sqrt { 2 }$
C) $- 1,$ $7 - \sqrt { 2 },$ $7 + \sqrt { 2 }$
D) $1,$ $7 - \sqrt { 2 },$ $7 + \sqrt { 2 }$
E) $- 1,$ $- 7 - \sqrt { 2 },$ $- 7 + \sqrt { 2 }$