Question

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

Degree 4; zeros: -1,2 and 1-2i

Answer 1

Solution:

Since the polynomial has real coefficients, complex roots occur in conjugate pairs

So, since is a root , must also be a root.

By the Factor Theorem ,

If is a root of   then is a factor of _.

  The required polynomial is