SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 5 − 2i and 3, with 3 a zero of multiplicity 2.

Question 668005: Find a polynomial with integer coefficients that satisfies the given conditions.
R has degree 4 and zeros 5 − 2i and 3, with 3 a zero of multiplicity 2.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a polynomial with integer coefficients that satisfies the given conditions.
R has degree 4 and zeros 5 − 2i and 3, with 3 a zero of multiplicity 2.
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R(x) = (x-4)(x-(5-2i))(x-(5+2i))(x-3)^2
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R(x) = (x-4)((x-5)^2+4)(x-3)^2
----
R(x) = (x-4)(x^2-10x+29)(x-3)^2
=================================
cheers,
Stan H.
============
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SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 5 &#8722; 2i and 3, with 3 a zero of multiplicity 2.

SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 5 − 2i and 3, with 3 a zero of multiplicity 2.