Answer
False. To make the statement true,
omit the word "never".
Work Step by Step
Take for example $(x+1)(x+1)$
and simplify using FOIL:
$...=x^{2}+x+x+1$
$= x^{2}+2x+1,$
which IS a trinomial that HAS identical factors.
False. To make the statement true,
omit the word "never".
