Question

Write a polynomial function of least degree with integer coefficients whose zeros include -6 and 3i

Answer 1

since the zero of the subsequent polynomial:
\[x+6\]
is -6
and the zeroes of the subsequent polynomial:
\[x ^{2}+9\]
are
\[\pm 3i\]
then your polynomial is:
\[(x ^{2}+9)(x+6)\]
which has integer coefficients and the least grade

Answer 2

thanks!

Answer 3

thanks!