Which of the following statement are true? (1). x^(m) + a_1 x^ (m-1) + ...+ a_(m-1) x + a_ (m) = 0, a_( i) in R for all i = 1, ..., has a root in R only if m is an odd number?

1 Answer
Mar 7, 2018

"The statement is false [very false !!]."

Explanation:

"Good question to ask -- but it is (very) false. Observe:"

\qquad \qquad \qquad p(x) = x^2 \qquad "has the real zero" \ \ x = 0.

"So, the original statement is false."