Form a polynomial f(x) from coefficient and it's 0
posted by Armando .
Form a polynomial, f(x), with real coefficients having the given degree and zeros.
Degree: 4; zeros: 6i and 7i
I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate it.
Thanks.

Because the coefficients of f(x) are REAL,
f(x) has zeros: 6i and 6i, 7i and 7i.
For example,
f(x)=(x6i)(x+6i)(x7i)(x+7i)= (x^2+36)(x^2+49)