Victoriapoyner12
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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of 3−i, 3+i, and 2, and a leading coefficient of −3.

Answer :

If you want a polynomial with zeroes [tex]x_1,x_2,x_3[/tex] and lead coefficient [tex]a[/tex] you simply have to multiply

[tex]a(x-x_1)(x-x_2)(x-x_3)[/tex]

So, in this case, we have

[tex]-3(x-3+i)(x-3-i)(x-2)[/tex]

If we multiply all the pieces, we have

[tex]-3 x^3 + 24 x^2 - 66 x + 60[/tex]

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