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lakkis [162]
2 years ago
6

(Algebra 2) write a polynomial function of least degree with integral coefficients that has the given zeros.

Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

Answer:

x^{2} -2ix+3=0 .

Step-by-step explanation:

Given the zeroes of the polynomial are

a=-i . and b=3i

The recquired polynomial is (x-a)(x-b)=0

On substituting the values of a and b we get

(x+i)(x-3i)=0

x^{2} -3xi+ix-3i^{2}=0

x^{2} -2ix+3=0 .       (∵i^{2}=-1)

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