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

Answer 1

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

Answer 2

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

Answer 3

oops i meant \(-1\pm 2i\)

Answer 4

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

Answer 5

you pick

Answer 6

really really easy lol