Question

Find the nth degree polynomial with real coefficients satisfying the given conditions.

n=3, 4 and 2i are zeros, f(-1)=50

The expanded and simplified polynomial is f(x)=_________________

Answer 1

if 2i is zero then immediately -2i is also zero
So \(\large f(x)=a(x-4)(x-2i)(x+2i)\)
you are given \(\large f(-1)=50\) evaluate -1 so you can find a
\(\large \color{blue} {f(x)=(x-4)(x^2+4})\)
and always right the polynomials like this with not complex numbers

Answer 2

of i forgot that "a" in the second one^_^

Answer 3

wait what was that second part haha

Answer 4

??