Jazzy K.

asked • 12/30/14

Write a polynomial with zeros 2+i and -4?

Write a polynomial with zeros 2+i and -4?

1 Expert Answer

By:

Mitiku D.

tutor
This is with the assumption that the polynomial is of second degree which the question did not restrict itself to , right?
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12/30/14

Richard P.

tutor
The problem statement did not restrict the degree of the polynomial, nor insist that the coefficients be real.   However, there is almost always an implicit requirement that the coefficients be real.   The polynomial
 
x3 - 11 x +20 is the lowest degree (three) polynomial with real coefficients having the zeros -4 and 2 + i.  
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12/30/14

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