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

you would solve for x basically... so if x=2 the equation would be (x-2)
like wise, it would be (x+4)
Now for the 1+3i, you can see that it is imaginary, and those numbers only come in conjugates, or pairs. so  you must have 1-3i. Then you take it all and multiply to form an equation. 
(x+4)(x-2)(x-(1+3i))(x-(1-3i))

anonymous · Answer

i know i have to do that i just dont know what the last two factor out as