Answer
$16x^2 - 28x + 6 = (4x-1)(4x - 6)$
Work Step by Step
The perimeter is
$2(2x^2+3+6x^2-14x) = 2 ( 8x^2 - 14x + 3) = 16x^2 - 28x + 6$
Let's factor the polynomial.
$16x^2 - 28x + 6 = 16x^2 - 24 x - 4x + 6 = 16x(x-1.5) - 4 (x - 1.5) = (16x - 4)(x-1.5) = 4(4x- 1)(x-1.5) = (4x-1)(4x - 6)$
