How do you write a polynomial with zeros 2, -2, -6i and leading coefficient 1?
Identify the four (not three) zeroes and write out the zeroes in factored form. Answer:
Original question: Find polynomial with zeroes
We know that each complex zero must have a pair that is also a complex zero, which is its conjugate. Therefore, if
We also know that zeroes of a polynomial come in the form
Now, we can write out the expanded form by using the fact that
Combining like-terms, we get: