Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
2, -4, and 1 + 3i

Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
2, -4, and 1 + 3i

anonymous · Answer

I understand that you multipy out the root terms
(x-2)(x+4)(x-(1+3i))(x-(3+i))
but I don't know how you deal with multiplying the i terms

amistre64 · Answer

just think of "i" as an extra variable at the moment

amistre64 · Answer

and your setup may be a little off

amistre64 · Answer

2, -4, and 1 + 3i
         need to include the conjugate of the complex zero (1-3i)

2, -4, (1+3i), (1-3i)

and i just subtract x from each term and multiply

(2-x) (-4-x) (1+3i-x) (1-3i-x)