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

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

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`