Let P(x) = x + (2-i)x + (1 - 2i) x + (2-i)x - 2i. Find...

 

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Let P(x) = x² + (2-i)x³ + (1 - 2i) x² + (2-i)x - 2i. Find all real values of a such that when the polynomial P(x) is divided by ix + a the remainder is 0. Let P(x) = x² + (2-i)x³ + (1 - 2i) x² + (2-i)x - 2i. Find all real values of a such that when the polynomial P(x) is divided by ix + a the remainder is 0.

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In order for the remainder to be 0 we set Px ix aqx 0 and solve for a This gives us the equation 24 2 1x3 1 2ix2 2 2x 2i ix aq1x2 q2x q3 We can then c... View the full answer