Question

polynomial function of lowest degree with rational coefficients that has zeroes of -4i,6

Answer 1

if \(4i\) is a zero then so is \(-4i\) and the polynomial that has those zeros is \(x^2+16\)

Answer 2

since the other zero is 6, in factored form this will be

\[(x^2+16)(x-6)\]and your job is to multiply that out

Answer 3

polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1

Answer 4

\[x(x+4)^3\] is a start