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

1) 4i and sqrt of 5

2) 3,-1 and -1+2i

Question

Write a polynomial function with a minimum degree with real coefficients whose zeros are listed. Write the polynomial in standard form.

1)  4i and sqrt of 5

2) 3,-1 and -1+2i

anonymous · Answer

When you have zeros $r_1,r_2$, then you will have a polynomial: $$
(x-r_1)(x-r_2)
$$

anonymous · Answer

One thing to be careful of though, is that for any real coefficient polynomial, when you have a complex root $a+bi$, then $a-bi$ must also be a root to ensure the coefficients are real.