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 1113596: 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 math_helper(2461) (Show Source): You can put this solution on YOUR website!
The zeros at 3 and -13 result in factors (x-3)(x+13)
The zero at 5+4i will be one of two zeros, where the 2nd zero is at 5-4i (complex roots come in conjugate pairs).
Assuming the form and using the quadratic formula
>
> >
>
generates zeros at
Putting it all together:
in expanded form:
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