AP Calculus BC : 10.5 Harmonic Series and  p-Series- Exam Style questions with Answer- MCQ

Question

If a, b ,c ,d,e and are real numbers and a ≠ 0 , then the polynomial equation \(ax^{7}+bx^{5}+cx^{3}+dx+e\) = 0 has

(A) only one real root.
(B) at least one real root.
(C) an odd number of nonreal roots.
(D) no real roots.
(E) no positive real roots.