Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

5, -3, and -1 + 2i

Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

5, -3, and -1 + 2i

anonymous · Answer

the first part is easy , since the zeros are 5 and-3  it will have the factors 
$$(x-5)(x+3)$$

anonymous · Answer

is that part clear enough?  the only challenge is then to find a polynomial with zeros at $1\pm 2i$

anonymous · Answer

oops i meant $-1\pm 2i$

anonymous · Answer

there are a few ways to do it
one is hard
one is easy
and one is really really easy

anonymous · Answer

you pick

anonymous · Answer

really really easy lol