SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
3, -13, and 5 + 4i
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Question 1105809: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
3, -13, and 5 + 4i
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
there are four roots: 3, -13, 5+4i and 5-4i
the factors are (x-3)(x+13)(x-5-4i) and (x-5+4i);
the first two foil to x^2+10x-39
the second to x^2-10x+41
they foil to x^4-10x^3+41x^2+10x^3-100x^2+410x-39x^2+390x-1599
=x^4-98x^2+800x-1599
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