Answer
The statement is false.
To make it true, change "is $5$" to "is $-5$"
Work Step by Step
A polynomial is a sum of its terms
(the minus, if there is one is part of a coefficient).
so this polynomial is in fact:
$3x^{2}+(-5x)+13\qquad $ ... a sum of terms
The coefficient of the second term is -5, not 5.
The statement is false.
To make it true, change "is $5$" to "is $-5$"