SOLUTION: Find a polynomial function of degree 3 with zeros 1/2, 1-i; where P(4) = 140

Question 682329: Find a polynomial function of degree 3 with zeros 1/2, 1-i; where P(4) = 140
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
Find a polynomial function of degree 3 with zeros 1/2, 1-i; where P(4) = 140

Since the polynomial is to have real coefficients, since 1-i is a zero,
its conjugate 1+i is also a zero

So the polynomial is














Now we substitute , 
which implies that we also substitute.








So





Edwin

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