Question 1032245
I will just refer you to this site www.symbolab.com/solver/polynomial-equation-calculator, from which you could get the unique factorization of the polynomial.

{{{f(x)=x^6 + 12x^5 + 43x^4 + 22x^3 - 138x^2 - 280x - 200 = (x+5)^2(x+2)(x-2)(x^2+2x+2)}}}.

You should be able to answer the questions with this fact.