Answer
The factor of the given polynomial is $(x+3)(4x-5)$.
Work Step by Step
The given polynomial is
$=4x^2+7x-15$
Rewrite $7x$ as $12x-5x$.
$=4x^2+12x-5x-15$
Group the terms.
$=(4x^2+12x)+(-5x-15)$
Factor each group.
$=4x(x+3)-5(x+3)$
Factor out $(x+3)$.
$=(x+3)(4x-5)$
Hence, the factor of the given polynomial is $(x+3)(4x-5)$.
