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

Degree: 3; zeros: -2 and 3 + i.

Question

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

Degree: 3; zeros: -2 and 3 + i.

anonymous · Answer

If it has degree 3, how many zeros does that mean the polynomial should have?

How many zeros have they given you?

Can you figure out the other zero from the ones given?

Once you know all the zeros, can you rewrite the polynomial to look something like this where a, b, and c are the zeros?

(x-a)(x-b)(x-c) = 0

Expand from there and you've got your answer.