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
martin23239
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." #

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