Question

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

Answer 1

Answer:

C. $(4x-8)^2$

Step-by-step explanation:

We need to determine whether the given polynomial $16x^2-64x+64$ can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

$16x^2-64x+64$

$=16x^2-32x-32x+64$

$=16x(x-2)-32(x-2)$

$=(16x-32)(x-2)$

$=16(x-2)(x-2)$

$=16(x-2)^2$

$=4^2(x-2)^2$

$=(4(x-2))^2$

$=(4x-8)^2$

Hence final answe is choic C. $(4x-8)^2$