SOLUTION: Find the polynomial P(x) having real coefficients, with the degree and zeroes indicate. Assume that lead coefficient is 1. Recall (a+bi)(a-bi)=a2+b2 (the last one is read a squar
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-> SOLUTION: Find the polynomial P(x) having real coefficients, with the degree and zeroes indicate. Assume that lead coefficient is 1. Recall (a+bi)(a-bi)=a2+b2 (the last one is read a squar
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Question 362448: Find the polynomial P(x) having real coefficients, with the degree and zeroes indicate. Assume that lead coefficient is 1. Recall (a+bi)(a-bi)=a2+b2 (the last one is read a squared + b squared).
degree4, x=-1, x=1+2i. Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Since is a zero so is since complex solutions only come in complex conjugate pairs.
However since the degree is 4, without additional information on the other real root, you can't determine the polynomial.
Just for illustration assume the fourth root is .
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