Answer
$(8x - 1)^2$
Work Step by Step
We want to check to see if this polynomial expression is a perfect square trinomial using the following steps:
1. Check to make sure that the first and last terms are perfect squares:
Take the square root of the first term:
$\sqrt {64x^2} = 8x$
Take the square root of the last term:
$\sqrt {1} = 1$
2. Check to see if the middle term is two times the product of the square roots of the first and last terms:
$16x = 2(8x • 1)$
3. The factored form consists of the square roots of the first and last terms separated by a minus sign since there is a subtraction sign in the middle of the expression. This factor is then squared.
The factored form is:
$(8x - 1)^2$
