Find a polynomial of least degree with only real coefficients and having the given zeros.
-$2 + i , 4$
A) $f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 20 x + 20$
B) $f ( x ) = x ^ { 3 } + 8 x ^ { 2 } + 21 x + 20$
C) $f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 21 x - 20$
D) $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - ( 3 - 4 i ) x + 12 + 16 i$

Question

Quizplus · Accepted Answer

The Answer of Find a polynomial of least degree with only real coefficients and having the given zeros.
-$2 + i , 4$
A) $f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 20 x + 20$
B) $f ( x ) = x ^ { 3 } + 8 x ^ { 2 } + 21 x + 20$
C) $f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 21 x - 20$
D) $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - ( 3 - 4 i ) x + 12 + 16 i$

Find a Polynomial of Least Degree with Only Real Coefficients 2+i,42 + i , 42+i,4

Find a Polynomial of Least Degree with Only Real Coefficients $2 + i , 4$