Answer
$(2a-3)(5a+1)$.
Work Step by Step
The given polynomial is
$=10a^2-13a-3$
Rewrite $-13a$ as $-15a+2a$.
$=10a^2-15a+2a-3$
Group the terms.
$=(10a^2-15a)+(2a-3)$
Factor each group.
$=5a(2a-3)+1(2a-3)$
Factor out $(2a-3)$.
$=(2a-3)(5a+1)$
Hence, the factor of the polynomial is $(2a-3)(5a+1)$.
