Question

Form a polynomial f(x) with the real coefficients having the given degree and zeros Degree 4;...

Form a polynomial f(x) with the real coefficients having the given degree and zeros
Degree 4; zeros: -1,2 and 1-2i

Homework Answers

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

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