Polynomial with real coefficients
I have a problem that I am not understanding for homework:
I assumed that thus the constant would be '4'... (ax^3 + ax^2 +ax +4)
Find a polynomial with real coefficients, degree of 3, zeros of 2,1,-i, and satisfies the condition that f(0)=4
And I assumed that the zeros would meand: (x-2)(x-1) and (x^2+1)
The problem that I am facing is that the above would result in a degree of 4, not 3. Is there some small bit I am missing, or am I misinterperting (sp?) the question.