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Find a Polynomial of Degree 3 with Real Coefficients That −4- 4

Question 507

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of −4- 4 and 1−i,P(0) =81 - \mathrm { i } , \mathrm { P } ( 0 ) = 8


A) P(x) =x3+32x2−2x+4P ( x ) = x ^ { 3 } + \frac { 3 } { 2 } x ^ { 2 } - 2 x + 4
B) P(x) =x3+2x2+6x+8P ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 6 x + 8
C) P(x) =x3+2x2−6xP ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x
D) P(x) =x3+2x2−6x+8P ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 6 x + 8

Correct Answer:

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