Answer
True.
Work Step by Step
The given polynomial is
$=2-50x-x^2+25x^3$
Group terms.
$=(2-50x)+(-x^2+25x^3)$
Factor from each group.
$=2(1-25x)-x^2(1-25x)$
Factor out $1-25x$.
$=(1-25x)(2-x^2)$
Factor out $-1$.
$=-1(1-25x)(x^2-2)$
Hence, the given statement is true.
