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

Question 52

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) =30P ( 2 ) = 30


A) P(x) =6x3+18x2+6x18P ( x ) = - 6 x ^ { 3 } + 18 x ^ { 2 } + 6 x - 18
B) P(x) =6x3+18x26x+18P ( x ) = - 6 x ^ { 3 } + 18 x ^ { 2 } - 6 x + 18
C) P(x) =6x318x2+6x18P ( x ) = 6 x ^ { 3 } - 18 x ^ { 2 } + 6 x - 18
D) P(x) =6x318x26x+18P ( x ) = 6 x ^ { 3 } - 18 x ^ { 2 } - 6 x + 18

Correct Answer:

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