Form a polynomial​ f(x) with real coefficients having the given degree and zeros.

Question

Degree​ 4; ​ zeros: 6​, multiplicity​ 2; 2i

Answer 1

Hi Ana:

if 6 is a zero with multiplicity 2, then (x-6)^2 must be a factor of f(x)

if 2i is a root, then -2i is also a root (why?) so (x-2i)*(x+2i), or (x^2+4) is also a factor

Given this information, can you find polynomial f(x)?