Given $3 + i$ is a root, determine all other roots of $f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 42 x ^ { 2 } - 88 x + 80$.
A) $x = 3 + i , 2 \pm 2 i , 2 - i$
B) $x = 3 - i , 2 \pm i$
C) $x = 3 - i , 2 - 2 i , 2 + i$
D) $x = 3 - i , - 2 \pm 2 i$
E) $x = 3 - i , 2 \pm 2 i$

Question

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The Answer of Given $3 + i$ is a root, determine all other roots of $f ( x ) = x ^ { 4 } - 10 x ^ { 3 } + 42 x ^ { 2 } - 88 x + 80$.
A) $x = 3 + i , 2 \pm 2 i , 2 - i$
B) $x = 3 - i , 2 \pm i$
C) $x = 3 - i , 2 - 2 i , 2 + i$
D) $x = 3 - i , - 2 \pm 2 i$
E) $x = 3 - i , 2 \pm 2 i$

Given 3+i3 + i3+i Is a Root, Determine All Other Roots Of

Given $3 + i$ Is a Root, Determine All Other Roots Of