# 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?

$\text{The statement is false [very false !!].}$
$\text{Good question to ask -- but it is (very) false. Observe:}$
$\setminus q \quad \setminus q \quad \setminus q \quad p \left(x\right) = {x}^{2} \setminus q \quad \text{has the real zero} \setminus \setminus x = 0.$
$\text{So, the original statement is false.}$