Answer
$(7a-1)^2$
Work Step by Step
The given polynomial is
$\Rightarrow 49a^2-14a+1$
Write the the polynomial as $a^2-2ab+b^2$.
$\Rightarrow (7a)^2-2(7a)(1)+1^2$.
Use perfect square trinomial pattern $a^2-2ab+b^2=(a-b)^2$.
We have $a=7a$ and $b=1$.
$\Rightarrow (7a-1)^2$.
Hence, the factor of the polynomial is $(7a-1)^2$.
