build a polynomial p with interger coefficients such that x=-2-i is a zero of p,p has a local maximum of (8,0) p(x) negative infinity as positive infinity

Question

p(x) negative infinity as positive infinity

Answer 1

The last part of your question is vague. What do you mean by that? Does it say that as x → –∞, p(x) → ∞?

 

Once you respond back, I will provide more help.

Answer 2

This is a little garbled: "build a polynomial p with interger coefficients such that x=-2-i is a zero of p, p has a local maximum of (8,0) p(x) negative infinity as positive infinity

 

integer !  

end behavior:   p(x) → ±infinity as x → ± infinity ⇐ you need two definitive statements; there are 4 possibilities.

 

Without clarifications, this is not a worthwhile problem to work on.