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Find a Polynomial of Degree 3 with Real Coefficients That 3,i,i3 , i , - i

Question 414

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of 3,i,i3 , i , - i and P(2) =25P ( 2 ) = 25


A) P(x) =5x315x25x+15P ( x ) = 5 x ^ { 3 } - 15 x ^ { 2 } - 5 x + 15
B) P(x) =5x315x2+5x15P ( x ) = 5 x ^ { 3 } - 15 x ^ { 2 } + 5 x - 15
C) P(x) =5x3+15x25x+15P ( x ) = - 5 x ^ { 3 } + 15 x ^ { 2 } - 5 x + 15
D) P(x) =5x3+15x2+5x15P ( x ) = - 5 x ^ { 3 } + 15 x ^ { 2 } + 5 x - 15

Correct Answer:

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