Answer
$(3x+7)(2x+1)$.
Work Step by Step
The given polynomial is
$=6x^2+17x+7$
Rewrite $17x$ as $14x+3x$.
$=6x^2+14x+3x+7$
Group the terms.
$=(6x^2+14x)+(3x+7)$
Factor each group.
$=2x(3x+7)+1(3x+7)$
Factor out $(3x+7)$.
$=(3x+7)(2x+1)$
Hence, the factor of the polynomial is $(3x+7)(2x+1)$.
