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

Question 427

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- 2+i,42 + i , 4


A) f(x) =x3+9x2+20x+20f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 20 x + 20
B) f(x) =x3+8x2+21x+20f ( x ) = x ^ { 3 } + 8 x ^ { 2 } + 21 x + 20
C) f(x) =x38x2+21x20f ( x ) = x ^ { 3 } - 8 x ^ { 2 } + 21 x - 20
D) f(x) =x34x2(34i) x+12+16if ( x ) = x ^ { 3 } - 4 x ^ { 2 } - ( 3 - 4 i ) x + 12 + 16 i

Correct Answer:

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