16, with the factors– 1, 2, 4, 8, and 16 itself
Answer:
Step-by-step explanation:
A polynomial function is given by the form:
Where a is the leading coefficient, and <em>p</em> and <em>q</em> are the roots (more can be added if necessary).
Our zeros are 3 and (-2 + 2i).
And our leading coefficient <em>a </em>= 1.
Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.
So, by substitution, we acquire:
Simplify:
Expand the second and third factors:
Therefore, our polynomial function of least degree and the given zeros will be: