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Find a Polynomial of Degree 3 with Real Coefficients That 5,i,i- 5 , i , - i

Question 437

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of 5,i,i- 5 , i , - i and P(3) =60P ( - 3 ) = 60


A) P(x) =3x3+15x2+3x+15P ( x ) = 3 x ^ { 3 } + 15 x ^ { 2 } + 3 x + 15
B) P(x) =3x315x23x15P ( x ) = - 3 x ^ { 3 } - 15 x ^ { 2 } - 3 x - 15
C) P(x) =3x315x2+3x+15P ( x ) = - 3 x ^ { 3 } - 15 x ^ { 2 } + 3 x + 15
D) P(x) =3x3+15x23x15P ( x ) = 3 x ^ { 3 } + 15 x ^ { 2 } - 3 x - 15

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