Answer
The statement is false.
Change " ... has one positive real root" to
" ... has no positive real roots"
to make it true.
Work Step by Step
Observing f(x)=0,
applying Descartes's Rule of Signs (page 384), we count the sign changes in the expression of f(x) to estimate the number of POSITIVE real roots.
No sign changes in f(x), no positive roots.
The statement is false.
Change " ... has one positive real root" to
" ... has no positive real roots"
to make it true.
