SOLUTION: Given that one zero of P(x) = x3 + 3x2 + 7x + 85 is 1 + 4i, which of the following is also a zero of P(x)? (1) -1 + 4i (3) 4 + i (2) 1

SOLUTION: Given that one zero of P(x) = x3 + 3x2 + 7x + 85 is 1 + 4i, which of the following is also a zero of P(x)? (1) -1 + 4i (3) 4 + i (2) 1 - 4i (4) -4 + i

Question 41624: Given that one zero of P(x) = x3 + 3x2 + 7x + 85 is 1 + 4i, which of the following is also a zero of P(x)?
(1) -1 + 4i (3) 4 + i
(2) 1 - 4i (4) -4 + i
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Given that one zero of P(x) = x3 + 3x2 + 7x + 85 is 1 + 4i, which of the following is also a zero of P(x)?
(1) -1 + 4i (3) 4 + i
(2) 1 - 4i (4) -4 + i
THE GIVEN EQN.HAS REAL COEFFICIENTS.HENCE IF THERE IS ONE COMPLEX ROOT ITS CONJUGATE SHOULD ALSO BE A ROOT.
SO IF 1+4I IS A ROOT THEN 1-4I SHOULD ALSO BE A ROOT
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