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Find a Quartic Polynomial (Degree 4) with Real Coefficients Having

Question 80

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Find a quartic polynomial (degree 4) with real coefficients having roots x = -5i and x = Find a quartic polynomial (degree 4)  with real coefficients having roots x = -5i and x =   i. Assume a lead coefficient of 1. A)  P(x)  = x<sup>4</sup> + 32x<sup>3</sup> + 25x<sup>2</sup> + 7x + 175 B)  P(x)  = x<sup>4</sup> + 25x<sup>3</sup> + 32x<sup>2</sup> + 7x + 175 C)  P(x)  = x<sup>4</sup> + 32x<sup>2</sup> + 175 D)  P(x)  = x<sup>4</sup> + 25x<sup>2</sup> + 175 i. Assume a lead coefficient of 1.


A) P(x) = x4 + 32x3 + 25x2 + 7x + 175
B) P(x) = x4 + 25x3 + 32x2 + 7x + 175
C) P(x) = x4 + 32x2 + 175
D) P(x) = x4 + 25x2 + 175

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